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Approximation of Fixed Point of Multivalued Mean Nonexpansive Mappings in CAT(0) spaces

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Title: Approximation of Fixed Point of Multivalued Mean Nonexpansive Mappings in CAT(0) spaces

Authors: Mujahid Abbas, Khushdil Ahmad, Khurram Shabbir

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2023

Volume: 19

Issue: 2

Language: English

Keywords: fixed pointMultivalued mean nonexpansive mappingsCAT(0) spaces

Categories
Metric Spaces (17) CAT(0) Spaces (1) Multivalued Mappings (1) Fixed Point Theory (28) Approximation Theory (21)

Abstract

The aim of this paper is to present the convergence results to approximate the fixed points of multivalued mean nonexpansive mappings in CAT(0) spaces. Strong and ∆-convergence results are established for these mappings using F-iterative scheme. Moreover, a numerical example is given to show the convergence behavior of the iterative scheme for multivalued mean nonexpansive mappings. The results which we derived are generalization of many results existing in literature.

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