A Fixed Point Theorem for a Pair of Generalized Nonexpansive Mappings in Uniformly Convex Metric Spaces
Year: 2022
Author: Chao Wang, Honglei Fan
Journal of Mathematical Study, Vol. 55 (2022), Iss. 4 : pp. 432–444
Abstract
In uniformly convex metric spaces, we study the existence and uniqueness of a common fixed point for a pair of generalized nonexpansive mappings with some weak conditions. Meanwhile, we introduce a new Krasnoselskii type iterative algorithm for approximating the common fixed point. A numerical example is also given to demonstrate the main result. Our results generalize and improve some recent corresponding results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v55n4.22.06
Journal of Mathematical Study, Vol. 55 (2022), Iss. 4 : pp. 432–444
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Common fixed point a pair of generalized nonexpansive mappings Krasnoselskii type iterative algorithm uniformly convex metric spaces.