Common fixed point iterations for a class of multi-valued mappings in CAT(0) spaces

Khairul Saleh; Hafiz Fukhar-ud-din

doi:10.1007/s40065-020-00290-1

Common fixed point iterations for a class of multi-valued mappings in CAT(0) spaces

Khairul Saleh^*
, Hafiz Fukhar-ud-din

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this work, we propose an iterative scheme to approach common fixed point(s) of a finite family of generalized multi-valued nonexpansive mappings in a CAT(0) space. We establish and prove convergence theorems for the algorithm. The results are new and interesting in the theory of CAT(0) spaces and are the analogues of corresponding ones in uniformly convex Banach spaces and Hilbert spaces.

Original language	English
Pages (from-to)	681-690
Number of pages	10
Journal	Arabian Journal of Mathematics
Volume	9
Issue number	3
DOIs	https://doi.org/10.1007/s40065-020-00290-1
State	Published - 1 Dec 2020

Bibliographical note

Publisher Copyright:
© 2020, The Author(s).

ASJC Scopus subject areas

General Mathematics

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10.1007/s40065-020-00290-1

Cite this

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abstract = "In this work, we propose an iterative scheme to approach common fixed point(s) of a finite family of generalized multi-valued nonexpansive mappings in a CAT(0) space. We establish and prove convergence theorems for the algorithm. The results are new and interesting in the theory of CAT(0) spaces and are the analogues of corresponding ones in uniformly convex Banach spaces and Hilbert spaces.",

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AB - In this work, we propose an iterative scheme to approach common fixed point(s) of a finite family of generalized multi-valued nonexpansive mappings in a CAT(0) space. We establish and prove convergence theorems for the algorithm. The results are new and interesting in the theory of CAT(0) spaces and are the analogues of corresponding ones in uniformly convex Banach spaces and Hilbert spaces.

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Common fixed point iterations for a class of multi-valued mappings in CAT(0) spaces

Abstract

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