Convergence theorem for a finite family of asymptotically demicontractive multi-valued mappings in CAT(0) spaces-Reference-Cited by-同舟云学术

Convergence theorem for a finite family of asymptotically demicontractive multi-valued mappings in CAT(0) spaces

Published:2020-06-01 Issue:1 Volume:26 Page:117-130
ISSN:1869-6082
Container-title:Journal of Applied Analysis
language:
Short-container-title:

Author:

Ugwunnadi Godwin C.¹,Mewomo Oluwatosin T.²,Izuchukwu Chinedu²

Affiliation:

1. Department of Mathematics, University of Eswatini, Kwaluseni, Eswatini

2. School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa

Abstract

AbstractIn this paper, we introduce the class of asymptotically demicontractive multivalued mappings and establish a strong convergence theorem of the modified Mann iteration to a common fixed point of a finite family of asymptotically demicontractive multivalued mappings in a complete

{\mathrm{CAT}(0)}

space. We also give a numerical example of our iterative method to show its applicability.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/jaa-2020-2010/pdf

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