An Implicit Algorithm for Finding a Fixed Point of a Q -Nonexpansive Mapping in Locally Convex Spaces-Reference-Cited by-同舟云学术

An Implicit Algorithm for Finding a Fixed Point of a Q -Nonexpansive Mapping in Locally Convex Spaces

Published:2021-08-07 Issue: Volume:2021 Page:1-11
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Soori E.¹^ORCID,Omidi M.R.²,Farajzadeh A.P.³^ORCID,Wang Yuanheng⁴^ORCID

Affiliation:

1. Department of Mathematics, Lorestan University, P.O. Box 465, Khoramabad, Lorestan, Iran

2. Department of Basic Sciences, Kermanshah University of Technology, Kermanshah, Iran

3. Department of Mathematics, Razi University, Kermanshah, Iran

4. Department of Mathematics, Zhejiang Normal University, Jinhua, China

Abstract

In this paper, the notion of the

q

-duality mappings in locally convex spaces is introduced. An implicit method for finding a fixed point of a

Q

-nonexpansive mapping is provided. Finally, the convergence of the proposed implicit scheme is investigated. Some examples in order to illustrate of the main results are presented.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2021/9913909.pdf

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