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11. A novel iterative process for numerical reckoning of fixed points via generalized nonlinear mappings with qualitative study

Author

Ahmad Fayyaz, Ullah Kifayat, Ahmad Junaid, Hammad Hasanen A., and George Reny

Subjects
iteration process, fixed point, convergence result, data dependence, stability, hyperbolic space, 47h05, 47h09, 47h10, Mathematics, QA1-939
Abstract

This manuscript is devoted to constructing a novel iterative scheme and reckoning of fixed points for generalized contraction mappings in hyperbolic spaces. Also, we establish Δ\Delta and strong convergence results by the considered iteration under the class of mappings satisfying condition (E). Moreover, some qualitative results of the suggested iteration, like weak w2{w}^{2}-stability and data dependence results, are discussed. Furthermore, to test the efficiency and effectiveness of the proposed iteration, practical experiments are given. To support the theoretical results, illustrative examples are presented. Finally, our results improve and generalize several classical results in the literature of fixed point iterations.

Published
2024
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14. Variants in EFCAB7 underlie nonsyndromic postaxial polydactyly

Author

Bilal, Muhammad, Khan, Hammal, Khan, Muhammad Javed, Haack, Tobias B., Buchert, Rebecca, Liaqat, Khurram, Ullah, Kifayat, Ahmed, Sohail, Bharadwaj, Thashi, Acharya, Anushree, Peralta, Susana, Najumuddin, Ali, Hamid, Hasni, Muhammad Sharif, Schrauwen, Isabelle, Ullah, Asmat, Ahmad, Wasim, and Leal, Suzanne M.

Published
2023
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30. Student's Performance Prediction Model and Affecting Factors Using Classification Techniques

Author

Hussain, Asif, Khan, Muzammil, and Ullah, Kifayat

Abstract

Educational institutions are creating a considerable amount of data regarding students, faculty and related organs. This data is an essential asset for academic institutions as it has valuable insights, knowledge and intelligence for the policymakers. Students are the fundamental entities and primary source of data creation in any educational environment. The educational institutions need to distinguish students who are weak in their studies and require special attention and monitoring to improve their learning behaviours, future academic performances and factors that can affect their interpretation. This paper adopted a hybrid classification model using Decision tree and support vector machine (SVM) algorithms to predict students' academic performance. We statistically analyzed and identified factors that can affect students' academic performance. The dataset used is collected from Bachelor students of the City University of Science and Information Technology (CUSIT). The experimental results revealed 71.79%, 74.04% and 78.85% for decision tree, and 69.87%, 74.04% and 71.15% accuracy for SVM models respectively for different splits. The study identified seven different factors that can directly affect the students' performance associated with educational institutions and social networks. Factors like "time spent on social networks," "type of games playing on mobiles," and "time spent on playing mobile games" significantly affect students' performance.

Published
2022
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31. On the convergence, stability and data dependence results of the JK iteration process in Banach spaces

Author

Ullah Kifayat, Saleem Naeem, Bilal Hazrat, Ahmad Junaid, Ibrar Muhammad, and Jarad Fahd

Subjects
jk- iteration, garcia-falset map, strong convergence, weak convergence, data dependence, stability, banach space, 47h09, 47h10, Mathematics, QA1-939
Abstract

This article analyzes the JK iteration process with the class of mappings that are essentially endowed with a condition called condition (E). The convergence of the iteration toward a fixed point of a specific mapping satisfying the condition (E) is obtained under some possible mild assumptions. It is worth mentioning that the iteration process JK converges better toward a fixed point compared to some prominent iteration processes in the literature. This fact is confirmed by a numerical example. Furthermore, it has been shown that the iterative scheme JK is stable in the setting of generalized contraction. The data dependence result is also established. Our results are new in the iteration theory and extend some recently announced results of the literature.

Published
2023
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