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In order to meet the needs of military, road construction, multimedia industry and other aspects, UAVs are gradually given more functions. As the basic function of UAV applications, the fixed-point delivery problem model has higher and higher accuracy requirements. However, in the actual scene, the UAV delivery problem is affected by the interaction of various factors such as flight height, air resistance, and dive angle, which makes it difficult to achieve high stability and high hit accuracy. This paper will analyze the complex motion model based on the fixed-point delivery of explosives by UAV, study the relationship between the stability of UAV delivery and the hit accuracy, and analyze the influence of relevant parameters on the problem by using modeling. In this paper, a multivariate nonlinear continuous time change model is proposed, and a continuous time slice discretization idea operation model is introduced to approximate the time slice splitting inside the UAV launch motion. Secondly, the design quantified evaluation index reaction the initial velocity of the explosive, the launch Angle, the height off the ground and other parameters to analyze the model. Finally, the best scheduling strategy is obtained and verified by using the idea of variable traversal and trial- and-error simulation. The experimental results show that the variation of UAV flying height, speed, depression and other interference factors is consistent with the prediction of score and hit accuracy, according to the environment setting of this model, when the UAV is 300 meters above the ground and 290 meters away from the target horizontal position, the delivery speed is 250m/s, and the pitch angle is about 27°, the fixed-point delivery of explosives is the best strategy. [ABSTRACT FROM AUTHOR]

The foremost target of the proposed work focuses on establishing fixed point theorems for the new concept named Intuitionistic fuzzy cone-b metric space (in short IFCbMS). Various definitions like compatible mappings, weakly-compatible maps (WC maps) and E.A. property are also used to prove new results for IFCbMS. The proofs of fixed points for FMS, IFMS, NFMS in the setting of E.A. property are taken as base for this research. Examples mentioned in the paper are increasing the importance of the research done. An application is also given to show the importance of the result proved. The application of this paper leads to the solution of an integral equation in context of implicit functions. [ABSTRACT FROM AUTHOR]

In this paper, in the first part, we will improve and extend the main results 1 and 2 of Mishra et al. [6] in a b-metric space, and in the second and last part, we will improve and extend Theorem 5 and Theorem 6 of Shah [7] in a b-metric-like space, in both sections, we will use our new notion of occasionally weakly biased maps of type (풜). Some illustrative examples are given in order to clarify and support our findings. [ABSTRACT FROM AUTHOR]

In this paper, using the method of Hicks, we prove some new related fixed point theorems for pair of mappings on two d-complete topological spaces under the suitable conditions. We also derive some related fixed point theorems from our main results. Finally, by using w-continuity, we establish a related fixed point theorem in d-complete Hausdorff topological spaces. [ABSTRACT FROM AUTHOR]

In this paper, we prove the following generalization of the classical Darbo fixed point principle : Let X be a Banach space and µ be a montone measure of noncompactness on X which satisfies the generalized Cantor intersection property. Let C be a nonempty bounded closed convex subset of X and T : C → C be a continuous mapping such that for any countable set Ω ⊂ C, we have µ(T(Ω)) ≤ kµ(Ω), where k is a constant, 0 ≤ k < 1. Then T has at least one fixed point in C. The proof is based on a combined use of topological methods and partial ordering techniques and relies on the Schauder and the Knaster-Tarski fixed point principles. [ABSTRACT FROM AUTHOR]

In this paper, we prove a new coincidence and common fixed point theorem of hybrid mappings using the C-class function and T-weak commutativity. Finally, we give an example to illustrate our result. [ABSTRACT FROM AUTHOR]

In 2013, Azadifar et al. [3] established fixed point result in integral type contraction in modular metric space and 2020, Chaira et al.[11] established some extensions of Fixed Point Theorems for Weak-Contraction Mapping in Partially Ordered Modular Metric Spaces. In this paper we have established some common fixed point results in integral type contractions in modular and convex modular metric spaces. [ABSTRACT FROM AUTHOR]

In this paper, unique common fixed point theorems for pairs of subcompatible and reciprocally continuous mappings or compatible and subsequentially continuous mappings are obtained. This unique common fixed point is guaranteed under a new concept named a weak altering distance function. Our theorems improve some results especially the ones of [2]. [ABSTRACT FROM AUTHOR]

In this paper we formulate a setvalued fixed point problem by combining four prevalent trends of fixed point theory. We solve the problem by showing that the set of fixed points is nonempty. Further we have a data dependence result pertaining to the problem and also a stability result for the fixed point sets. The main result is extended to metric spaces with a graph. The results are obtained without the use of metric completeness assumption which is replaced by some other conditions suitable for solving the fixed point problem. There are some consequences of the main result. The main result is illustrated with an example. [ABSTRACT FROM AUTHOR]

In this work the Brouwer fixed point theorem for a triangle was proved by two methods based on the Sperner Lemma. One of the two proofs of Sperner's Lemma given in the paper was carried out using the so-called index. [ABSTRACT FROM AUTHOR]

In this paper, inspired by Proinov type contractions, we intend to acquire novel definitions and results that expand Sehgals [3] metric fixed point theory in the sense of modular b--metric space. To demonstrate the theorems, we employ a general form of (α, β) --admissible and multivalued mappings and obtain some general results for single-valued mapping in the context of modular b--metric space. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to give some extensions of Steffensen's method to the space ℝn. [ABSTRACT FROM AUTHOR]

We utilize Hardy-Rogers contraction and CJM−contraction in a C*−algebra valued partial metric space to create an environment to establish a fixed point. Next, we present examples to elaborate on the novel space and validate our result. We conclude the paper by solving a boundary value problem and a matrix equation as applications of our main results which demonstrate the significance of our contraction and motivation for such investigations. [ABSTRACT FROM AUTHOR]

V. Gupta introduced recently the Rathore type operators Rn,c. For them we obtain Voronovskaja type results. We extend the classical Szász-Mirakjan operator and compare the extension with Rn,c. [ABSTRACT FROM AUTHOR]

In this paper, some common fixed point theorems for pairs of subcompatible and reciprocally continuous mappings or compatible and subsequentially continuous mappings satisfying integral type are obtained. Our results improve several results especially the results of [3], Pathak et al. [13], Djoudi and Aliouche [6], Mbarki [10] and others. [ABSTRACT FROM AUTHOR]

This paper studies the existence of periodic solutions of a third order iterative differential equation. The main tool used here is Krasnoselskii-Burton's fixed point theorem dealing with a sum of two mappings, one is a large contraction and the other is compact. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to give some extensions of Steffensen's method to the space ℝn. [ABSTRACT FROM AUTHOR]

In this work we define the concepts of the coupled orbit and coupled orbitally completeness. After then, using the method of Bollenbacher and Hicks [8], we prove some Caristi type coupled fixed point theorems in coupled orbitally complete metric spaces for a function P : E × E → E. We also give two examples that support our results. [ABSTRACT FROM AUTHOR]

We propose 풮풜, η−풮풜, η−풮 풜min, and 풮풜η,δ,ζ−contractions and notions of η−admissibility type b and ηb−regularity in parametric Nb-metric spaces to determine a unique fixed point, a unique fixed circle, and a greatest fixed disc. Further, we investigate the geometry of non-unique fixed points of a self mapping and demonstrate by illustrative examples that a circle or a disc in parametric Nb−metric space is not necessarily the same as a circle or a disc in a Euclidean space. Obtained outcomes are extensions, unifications, improvements, and generalizations of some of the well-known previous results. We provide non-trivial illustrations to exhibit the importance of our explorations. Towards the end, we resolve the system of linear equations to demonstrate the significance of our contractions in parametric Nb−metric space. [ABSTRACT FROM AUTHOR]

The composition Fn of Rathore and Gamma operators was considered in the literature. We introduce a generalization of Fn. For it we determine the eigenstructure and establish the corresponding Voronovskaja type formula. [ABSTRACT FROM AUTHOR]

In this article, two unique common fixed point theorems for four self-maps on a metric-like space by using the concept of occasionally weakly biased maps of type (A) are proved. Our results represent an improvement and extension of some fixed point findings. We justify our results by giving two appropriate examples. [ABSTRACT FROM AUTHOR]

We introduce a new iterative scheme by viscosity approximation method for finding a common point of the set of solutions of an equilibrium problem and the set of common fixed points of a finite family of multivalued quasi-nonexpansive mapping in a Hilbert space. It is proved that the sequence generated by the iterative scheme converges strongly to a common point of the set of solutions of an equilibrium problem and the set of common fixed points of a finite family of multivalued quasi-nonexpansive. Futhermore, we applied our main result for finding a common solution of convex minimization problem and fixed points problem. Essentially a new approach for finding solutions of equilibrium problems and fixed point problems whith set-valued operators is provided. [ABSTRACT FROM AUTHOR]