Convergence Analysis of SP-Iteration for G-Nonexpansive Mappings with Directed Graphs

Convergence Analysis of SP-Iteration for G-Nonexpansive Mappings with Directed Graphs

© 2018, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia. In this paper, we prove weak and strong convergence theorems of SP-iteration for common fixed point of three G-nonexpansive mappings in uniformly convex Banach spaces endowed with a directed graph under some suit...

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Main Authors: Phikul Sridarat, Raweerote Suparaturatorn, Suthep Suantai, Yeol Je Cho
Format: Journal
Published: 2019
Subjects:
Mathematics
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85068926086&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/65673
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Institution: Chiang Mai University
id th-cmuir.6653943832-65673
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spelling th-cmuir.6653943832-656732019-08-05T04:39:13Z Convergence Analysis of SP-Iteration for G-Nonexpansive Mappings with Directed Graphs Phikul Sridarat Raweerote Suparaturatorn Suthep Suantai Yeol Je Cho Mathematics © 2018, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia. In this paper, we prove weak and strong convergence theorems of SP-iteration for common fixed point of three G-nonexpansive mappings in uniformly convex Banach spaces endowed with a directed graph under some suitable control conditions. We also give some numerical examples for confirming our main theorem and compare convergence rate between SP-iteration and Noor iteration. 2019-08-05T04:39:13Z 2019-08-05T04:39:13Z 2019-09-15 Journal 21804206 01266705 2-s2.0-85068926086 10.1007/s40840-018-0606-0 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85068926086&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/65673
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Phikul Sridarat
Raweerote Suparaturatorn
Suthep Suantai
Yeol Je Cho
Convergence Analysis of SP-Iteration for G-Nonexpansive Mappings with Directed Graphs
description © 2018, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia. In this paper, we prove weak and strong convergence theorems of SP-iteration for common fixed point of three G-nonexpansive mappings in uniformly convex Banach spaces endowed with a directed graph under some suitable control conditions. We also give some numerical examples for confirming our main theorem and compare convergence rate between SP-iteration and Noor iteration.
format Journal
author Phikul Sridarat
Raweerote Suparaturatorn
Suthep Suantai
Yeol Je Cho
author_facet Phikul Sridarat
Raweerote Suparaturatorn
Suthep Suantai
Yeol Je Cho
author_sort Phikul Sridarat
title Convergence Analysis of SP-Iteration for G-Nonexpansive Mappings with Directed Graphs
title_short Convergence Analysis of SP-Iteration for G-Nonexpansive Mappings with Directed Graphs
title_full Convergence Analysis of SP-Iteration for G-Nonexpansive Mappings with Directed Graphs
title_fullStr Convergence Analysis of SP-Iteration for G-Nonexpansive Mappings with Directed Graphs
title_full_unstemmed Convergence Analysis of SP-Iteration for G-Nonexpansive Mappings with Directed Graphs
title_sort convergence analysis of sp-iteration for g-nonexpansive mappings with directed graphs
publishDate 2019
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85068926086&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/65673
_version_ 1681426312711897088

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