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The aim of this article is to design a new iteration process for solving certain fixed-point problems. In particular, we prove weak and strong convergence theorems for generalized nonexpansive mappings in the framework of uniformly convex Banach spaces. In addition, we discuss the stability of the solution under mild conditions. Further, we provide some numerical examples to indicate that the proposed method works properly.

In this manuscript, some remarks on the papers [H. A. Hammad, P. Agarwal, S. Momani, and F. Alsharari, Solving a fractional-order differential equation using rational symmetric contraction mappings, Fractal Fract. 5 (2021), 159] and [A. Hussain, F. Jarad, and E. Karapinar, A study of symmetric contractions with an application to generalized fractional differential equations, Adv. Differ. Equ. 2021 (2021), 300] are given. In the light of remarks, we introduce a new property that makes it convenient to investigate the existence of fixed points of the interpolative contractions in the orthogonal metric spaces. We derive several new results based on known contractions from the main theorems. As an application, we resolve a Urysohn integral equation.

We study the split fixed point problem with multiple output sets in nonlinear spaces, particularly in CAT(0) spaces. We modify the existing self-adaptive algorithm for solving the split common fixed point problem with multiple output sets in the settings of generalized structures. We also present the consequences of our main theorem in terms of the split feasibility problem and the split common fixed point problem. [ABSTRACT FROM AUTHOR]

The rapid proliferation of Internet of Things (IoT) devices and applications has resulted in an increasing demand for Low Power and Wide Area Network (LPWAN) solutions. The adoption of IoT networks still faces several challenges, despite the rapid advancement of low-power communication technology. Homogenizing this sector requires allowing interoperability between many technologies, which is now one of the largest obstacles. In this article, we present the design and implementation of the hybrid LPWAN architecture that can accomplish wide-area communication coverage and low-power consumption for IoT applications by leveraging two LPWAN technologies, Wireless Smart Ubiquitous Network (Wi-SUN) and Long Range (LoRa). In particular, LoRa is used for long-range communication, and Wi-SUN for a low-latency mesh network. Additionally, we implemented smart street light controlling system as a real-world deployment at the university campus to showcase the efficiency of the hybrid network. Our results demonstrate that the hybrid LPWAN architecture provides a better coverage and capacity while consuming less power than that of the LoRa or Wi-SUN network. The results of this study demonstrate the effectiveness of the proposed hybrid LPWAN architecture as a viable solution for next-generation IoT applications. [ABSTRACT FROM AUTHOR]

We have suggested a new modified iterative scheme for approximating a common fixed point of two G-nonexpansive mappings. Our approach was based on an iterative scheme in the context of Banach spaces via directed graphs. First, we proved a weak convergence theorem using the Opial's property of the underlying space. A weak convergence result without the Opial's property was also given. After this, we established several strong convergence theorems using various mild conditions. We also carried out some numerical simulations to examine the main techniques. Eventually, we obtained an application of our result to solve split feasibility problems (SFP) in the context of G-nonexpansive mappings. [ABSTRACT FROM AUTHOR]

The present study aimed to investigate the impact of Artificial Intelligence (AI) Chatbots on academic self-efficacy and self-regulation among university students. To test the moderating effect of self-regulation on the association between AI Chatbots and academic self-efficacy. In addition, the research aligns with highlighted social debates surrounding ethical quandaries surrounding AI adoption in education. Using purposive sampling technique data was collected from universities students (N = 350) based in Rawalpindi and Islamabad. Along with demographic information, data was collected on the measures of the Human-Computer Trust Scale, Academic Self-Efficacy Scale, and Short-Form Self-Regulation Questionnaire to assess study variables. Results showed that AI Chatbots and Self-Regulation positively predict academic self-efficacy. AI Chatbots help in growing educational technologies and provide the education sector and policymakers for enhancing the level of education by adding tools for performance. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the novel concept of generalized distance denoted as J θ and call it an extended b-generalized pseudo-distance. With the help of this generalized distance, we define a generalized point to set distance J θ (u , H ★) , a generalized Hausdorff type distance and a P J θ -property of a pair (H ★ , K ★) of nonempty subsets of extended b-metric space (U ★ , ρ θ). Additionally, we establish several best proximity point theorems for multi-valued contraction mappings of Nadler type defined on b-metric spaces and extended b-metric spaces. Our findings generalize numerous existing results found in the literature. To substantiate the introduced notion and validate our main results, we provide some concrete examples. [ABSTRACT FROM AUTHOR]

In this paper, we define a generalized C ́ i r i c contraction with respect to ℸ and prove some coupled coincidence best proximity point results in the setting of complete metric spaces. We also obtain some coupled best proximity point results for such contractions. We provide an example for the validity of our main result. Our results are the generalization of many results existing in the literature. As an application, we find the solution of the differential equation. [ABSTRACT FROM AUTHOR]

This article introduces a novel iterative process, denoted as F ★ , designed for the class of generalized α -Nonexpensive mappings. The study establishes strong and weak convergence theorems within the context of Banach spaces, supported by carefully chosen assumptions. The convergence results contribute to the theoretical foundation of iterative processes in functional analysis. The presented framework is applied to address nonlinear integral equations, showcasing the versatility and applicability of the proposed F * for the class of generalized iteration process. Additionally, the article includes numerical examples that not only validate the theoretical findings but also provide insights into the practical utility of the developed methodology. [ABSTRACT FROM AUTHOR]

This paper aims to provide a comprehensive analysis of the advancements made in understanding Iterative Fixed-Point Schemes, which builds upon the concept of digital contraction mappings. Additionally, we introduce the notion of an Iterative Fixed-Point Schemes in digital metric spaces. In this study, we extend the idea of Iteration process Mann, Ishikawa, Agarwal, and Thakur based on the ϝ-Stable Iterative Scheme in digital metric space. We also design some fractal images, which frame the compression of Fixed-Point Iterative Schemes and contractive mappings. Furthermore, we present a concrete example that exemplifies the motivation behind our investigations. Moreover, we provide an application of the proposed Fractal image and Sierpinski triangle that compress the works by storing images as a collection of digital contractions, which addresses the issue of storing images with less storage memory in this paper. [ABSTRACT FROM AUTHOR]

We introduce a C' iric' type contraction principle in a vector-valued b-metric space that generalizes Perov's contraction principle. We investigate the possible conditions on the mappings W, E: G → G (G is a non-empty set), for which these mappings admit a unique common fixed point in G subject to a nonlinear operator F: Pm → Rm. We illustrate the hypothesis of our findings with examples. We consider an infectious disease model represented by the system of delay integrodifferential equations and apply the obtained fixed point theorem to show the existence of a solution to this model. [ABSTRACT FROM AUTHOR]

The aim of this article is to investigate the relationship between integral-type contractions and the generalized dynamic process. The fixed-point results for multivalued mappings that satisfy both the integral Khan-type contraction and the integral θ -contraction are established in a complete metric space. Furthermore, some corollaries are derived based on our main contribution. To demonstrate the novelty of our findings, several examples are provided. Finally, we look into whether nonlinear fractional differential equations have solutions utilizing the obtained results. [ABSTRACT FROM AUTHOR]

This study presents a deep learning model for efficient intracranial hemorrhage (ICH) detection and subtype classification on non-contrast head computed tomography (CT) images. ICH refers to bleeding in the skull, leading to the most critical life-threatening health condition requiring rapid and accurate diagnosis. It is classified as intra-axial hemorrhage (intraventricular, intraparenchymal) and extra-axial hemorrhage (subdural, epidural, subarachnoid) based on the bleeding location inside the skull. Many computer-aided diagnoses (CAD)-based schemes have been proposed for ICH detection and classification at both slice and scan levels. However, these approaches performonly binary classification and suffer from a large number of parameters, which increase storage costs. Further, the accuracy of brain hemorrhage detection in existing models is significantly low for medically critical applications. To overcome these problems, a fast and efficient system for the automatic detection of ICH is needed. We designed a double-branch model based on xception architecture that extracts spatial and instant features, concatenates them, and creates the 3D spatial context (common feature vectors) fed to a decision tree classifier for final predictions. The data employed for the experimentation was gathered during the 2019 Radiologist Society of North America (RSNA) brain hemorrhage detection challenge. Our model outperformed benchmark models and achieved better accuracy in intraventricular (99.49%), subarachnoid (99.49%), intraparenchymal (99.10%), and subdural (98.09%) categories, thereby justifying the performance of the proposed double-branch xception architecture for ICH detection and classification. [ABSTRACT FROM AUTHOR]

We consider the Banach space C [ 0 , 1 ] , which is a symmetric Banach space, and prove the existence and approximation of numerical solutions for a broad class of third-order BVPs. Our approach is based on an integral operator that is constructed using Green's function. The Banach contraction principle (BCP) is applied to guarantee a unique solution to our problem. Moreover, in order to find the value of the numerical solution, this new operator is embedded within the three-step Noor iterative scheme; we named this new iterative scheme the Noor–Green iterative scheme. We provide a convergence theorem for the proposed scheme by employing suitable restrictions on the parameters involved in the problem and in the scheme. The results of the stability of our scheme are also reported. It is worth mentioning that unlike the concept of stability in the classical sense, our result for stability is based on the concept of weak w 2 stability. In order to support our findings, we carried out various numerical experiments using different third-order BVPs. Finally, we report on the application of our iterative scheme to solve a class of fractional BVPs in the same symmetric Banach space. Our results are essentially new in the present literature and extend several of the results found in the current literature. [ABSTRACT FROM AUTHOR]

Objective: To compare the effectiveness of topical Proparacaine 0.5%, topical Proparacaine 0.5% and topical Proparacaine 0.5% for intraoperative analgesia and surgeon's score undergoing simple cataract surgery. Study Design: Quasi-experimental study. Place and Duration of Study: Department of Anaesthesia, Armed Forces Institute of Ophthalmology, Rawalpindi Pakistan, from Sep 2022 to Mar 2023. Methodology: Sixty patients aged 40 years and more, ASA-l and ll, undergoing elective simple cataract surgeries were observed by taking 20 patients in all three groups (n=20). Group-T: Topical Anesthesia group, 0.5% Proparacaine Group-I: Topical Anesthesia & Intracameral 1% Lignocaine Group-A: Topical Anesthesia and IV Acetaminophen groups were randomly allocated for pretreatment to either receive the 0.5% Proparacaine Eye drops (Group-T) or 0.5%Proparacaine eye drops with Intracameral 1ml 1% Lignocaine (I group) or 0.5% Proparacaine Eye drops with intravenous Acetaminophen 15ml/kg (A group). Incidence of pain by Visual analogue scale/wong-baker faces scale was noted. The surgeon's comfort was assessed by using Gupta's surgeon score questionnaire. Results: The results showed Group-I had better analgesic score than Group-T with only 1(5%) patient had a score of 4 but even more significant efficacy of intravenous acetaminophen plus topical anesthesia (Group-A) was shown as compared to rest of the groups with none (0%) patient had a VAS score of 4 (p-value=0.002). The results also showed Group-I had better surgeon comfort score than both Group-T and Group-A, with only 1(5%) patient had a score of 7 or above as compared to Group-T, 9(45%) patients and Group-A 7(35%) patients. (p-value=0.005). Conclusion: Intravenous acetaminophen plus topical anesthesia is better at reducing perioperative pain scores as compared to topical anesthesia alone or augmented intracameral Lidocaine plus topical anesthesia. And intracameral 1% Lidocaine injection plus topical is better combination for surgeon comfort perioperative as compared to topical anesthesia and intravenous acetaminophen plus topical anesthesia. [ABSTRACT FROM AUTHOR]

In this manuscript, we introduce the notions of fuzzy strong controlled metric spaces, fuzzy strong controlled quasi-metric spaces, and non-Archimedean fuzzy strong controlled quasi-metric spaces and generalize the famous Banach contraction principle. We prove several fixed point results in the context of non-Archimedean fuzzy strong controlled quasi-metric space. Furthermore, we use our main result to obtain the existence of a solution for a recurrence problem linked with the study of Quicksort algorithms. [ABSTRACT FROM AUTHOR]

Objective: To compare effectiveness of Laryngeal mask airway versus endotracheal tube to evaluate post-operative sore throat and hoarseness of voice among anesthetized adults. Study Design: Prospective comparative study Place and Duration of Study: Operation Theatre Complex, Surgical Ward 1 and 2, Combined Military Hospital, Lahore Pakistan, from Jun to Oct 2020. Methodology: A total of 70 patients of both gender undergoing elective surgeries were included. Afterwards a lottery method was applied to segregate patients randomly into Group-L and Group-T. In Group-L, airway was secured with laryngeal mask airway while in Group-T, airway was secured with endotracheal tube. Hoarseness of voice was evaluated at time of extubation and 24 hours post extubation. Results: Demographic data was comparable in both groups. Mean time of anesthesia was 71.31±22.87 and 82.86±32.34 minutes for Group-L and Group-T respectively with p-value of 0.09. Sore throat was seen in 12(34.29%) patients in Group-L as compared to 19(51.43%) in Group-T (p-value=0.094). Hoarseness of voice was seen in 3(8.57%) patients in Group-L as compare to 13(37.14%) in Group-T (p-value= 0.005). Conclusion: There was less occurrence of postoperative sore throat and hoarseness of voice in patients undergoing elective surgery with laryngeal mask airway as compared with endotracheal tube. [ABSTRACT FROM AUTHOR]

Objective: To compare motor and sensory blockade and hemodynamic effects of standard dose Bupivacaine versus low dose Bupivacaine mixed with Dexmedetomidine for spinal anesthesia in elderly male patients undergoing genitourinary surgery. Study Design: Prospective comparative study. Place and Duration of Study: Anesthesia Department Combined Military Hospital, Lahore Pakistan, from Sep 2019 to Feb 2020. Methodology: Hundred elderly male patients of American Society of Anesthesiology status-II undergoing surgery under spinal anesthesia were divided in two Groups. Group B (Bupivacaine Group) was given 11.25mg Bupivacaine and Group BD (Bupivacaine+Dexmedetomidine Group) received 7.5mg Bupivacaine and 5µg Dexmedetomidine intrathecally. Both Groups were given equal volume of 2ml. Results: Mean time for onset of sensory block for Group B and BD was 2.72±0.81 and 2.28±1.03 minutes respectively (p-value= 0.02). Mean time for onset of motor block for Group B and BD was 3.09±0.62 and 2.84±0.64 minutes respectively (p-value= 0.045). Mean duration of analgesia in Group B and BD was 171.87±10.19 and 187.60±18.42 minutes (p-value=0.01). Mean heart rate in Group B and BD was 80.04±5.51 and 75.68±6.11 beats/minutes (p-value=0.001). Mean arterial pressure's mean in Group B and BD was 62.78±78.13.49 and 87.96±10.15 (p-value=0.001). Conclusion: Onset of sensory and motor block was significantly shorter; analgesic effect was longer when Dexmedetomidine was combined with Bupivacaine for spinal anesthesia in comparison to Bupivacaine alone. Hemodynamic complications were also less in combination approach. [ABSTRACT FROM AUTHOR]

The focus of this paper is to conduct a comprehensive analysis of the advancements made in the understanding of Interpolative contraction, building upon the ideas initially introduced by Karapinar in 2018. In this paper, we develop the notion of Interpolative contraction mappings to the case of non-linear Kannan Interpolative, Riech Rus Ćirić interpolative and Hardy–Roger Interpolative contraction mappings based on controlled function, and prove some fixed point results in the context of controlled metric space, thereby enhancing the current understanding of this particular analysis. Furthermore, we provide a concrete example that illustrates the underlying drive for the investigations presented in this context. An application of the proposed non-linear Interpolative-contractions to the Liouville–Caputo fractional derivatives and fractional differential equations is provided in this paper. [ABSTRACT FROM AUTHOR]

Introduction: Abdominal surgeries or laparotomies are standard procedures for the treatment of different acute gastrointestinal pathologies and gastric decompression is commonly used before the majority of such surgeries. Nasogastric tubes are commonly used in the normal routine of abdominal surgeries and to achieve normal bowel function it is kept post-operatively as well for at least a couple of days. Several surgeons prefer to employ gastric decompression as they consider that it can decrease the incidence of side effects of surgeries such as post-operative ileus, nausea, aspiration, vomiting, and anastomotic leakage. We recommend no nasogastric intubation after small bowel anastomosis as the mean hospital time and stay for passage of first flatus was less compared to the intubated group and also it does not affect the prevention of intestinal anastomotic leak. Objective: To compare mean hospital stay and mean time for passage of first flatus between post-operative nasogastric intubation with no intubation after small bowel anastomosis. Material and Methods: This Randomized controlled trial was conducted at departments of surgery in Lady Reading Hospital and Mercy Teaching Hospital Peshawar from 1st July 2020 to 30th June 2021 as part of an endeavor to do an RCT and included cases operated both in the government and private sector i.e., Lady Reading Hospital Peshawar and Mercy Teaching Hospital Peshawar. In this study, a total of 60 patients in each group were observed. All patients were randomly allocated into two groups by the Lottery method. Patients in group A were not subjected to post-operative nasogastric intubation while patients in group-B were subjected to post-operative nasogastric intubation for 24 hours. Results: Our study shows that in group-A (Non-nasogastric intubation) mean age was 42 years with SD±0.76, whereas in group-B (nasogastric intubation) mean age was 44 years with SD±9.11. In group-A (Non-nasogastric intubation) 55% of patients were male and 45% of patients were female. Whereas in group-B (Non-nasogastric intubation) 52% of patients were male and 48% of patients were female. Group-A (Non-nasogastric intubation), mean hospital stay was 4 days±3.12 and the meantime to pass first flatus was 38 hours±7.42. Where as group-B (nasogastric intubation), mean hospital stay was 7 days±2.91 and the meantime to pass first flatus was 42 hours±8.57. Conclusion: We concludes that mean hospital stay and mean time to pass flatus is less with no nasogastric intubation compared to nasogastric intubation after small bowel anastomosis. [ABSTRACT FROM AUTHOR]

In this article, we introduce (Ψ , Φ) -orthogonal interpolative contractions which generalize orthogonal interpolative contractions. We investigate different conditions on the functions Ψ , Φ : (0 , ∞) → (− ∞ , ∞) to show the existence of fixed-points of set-valued (Ψ , Φ) -orthogonal interpolative contractions. Our fixed point results are improvement of several known results in literature. As an application, we resolve a fractional differential equation. [ABSTRACT FROM AUTHOR]

The aim of this manuscript is to prove some new fixed-point results for the two families of multivalued dominated-contractive maps defined on a closed ball in a complete multiplicative-metric space. The fixed-point theorems for multigraph-dominated maps are established. We also investigate the existence of fixed points of the two families of graphic contractions in a multiplicative-metric space. For illustration, an example is provided to clarify that the hypothesis of the obtained result is valid. Moreover, the applications of the obtained results to show the existence of solutions to the coupled systems of nonlinear Volterra-type integral equations and mappingal equations are presented as a confirmation of the novelty of our results. [ABSTRACT FROM AUTHOR]

In this paper, we introduce a novel form of interpolative convex contraction and develop some new theorems by utilizing the progressive method of interpolative convex contractions. We also obtain some fixed point results for a Suzuki convex contraction in orbitally S-complete F-metric spaces. The second purpose of this research is to evaluate the effectiveness of the fixed point approach in solving fractional differential equations with boundary conditions. [ABSTRACT FROM AUTHOR]