期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 392, 期 -, 页码 -出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2020.125699
关键词
alpha-nonexpansive; Condition (E '); Common endpoint; Strong convergence; Delta-convergence; Multivalued mappings; Hyperbolic space
This paper introduces a new modified iteration process for approximating the common endpoint of multivalued mappings in uniformly convex hyperbolic spaces, and improves upon previous results. A numerical example is provided to support the findings, which hold in both uniformly convex Banach spaces and CAT(0) spaces.
In this paper, we introduce a new modified iteration process for approximating common endpoint of a multivalued alpha-nonexpansive mapping and a multivalued mapping satisfying condition (E') in uniformly convex hyperbolic spaces. As a by-product, we improve the main results of Panyanak (2018) with a new and faster algorithm for two multivalued mappings. Moreover, we give a numerical example to substantiate our results. Our work is new and holds simultaneously in uniformly convex Banach spaces as well as CAT(0) spaces. (c) 2020 Elsevier Inc. All rights reserved.
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