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

  • Sridarat, Phikul
  • Suparaturatorn, Raweerote
  • Suantai, Suthep
  • Cho, Yeol Je
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초록

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.

키워드

SP-iterationCommon fixed point theoremG-nonexpansive mappingDirected graphPARTIALLY ORDERED SETSFIXED-POINTSMETRIC SPACEWEAKCONTRACTIONSTHEOREMS
제목
Convergence Analysis of SP-Iteration for G-Nonexpansive Mappings with Directed Graphs
저자
Sridarat, PhikulSuparaturatorn, RaweeroteSuantai, SuthepCho, Yeol Je
DOI
10.1007/s40840-018-0606-0
발행일
2019-09
유형
Article
저널명
Bulletin of the Malaysian Mathematical Sciences Society
42
5
페이지
2361 ~ 2380