Algorithm for Two Generalized Nonexpansive Mappings in Uniformly Convex Spaces

被引：5

作者：

Usurelu, Gabriela Ioana ^{[1
]}

Turcanu, Teodor ^{[1
]}

Postolache, Mihai ^{[1
,2
,3
]}

机构：

[1] Univ Politehn Bucuresti, Dept Math & Informat, Bucharest 060042, Romania

[2] Romanian Acad, Gheorghe Mihoc Caius Iacob Inst Math Stat & Appl, Bucharest 050711, Romania

[3] Sichuan Univ, Business Sch, Chengdu 610064, Peoples R China

来源：

MATHEMATICS | 2022年 / 10卷 / 03期

关键词：

Garcia-Falset mapping; condition (E); Suzuki mapping; condition (C); beta)-generalized hybrid mappings; common fixed point; iteration; FIXED-POINT THEOREMS; WEAK-CONVERGENCE THEOREMS; NONLINEAR MAPPINGS; ITERATION SCHEME; OPERATORS;

D O I：

10.3390/math10030318

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the common fixed-point problem for a pair of Garcia-Falset mapping and (alpha,beta)-generalized hybrid mapping in uniformly convex Banach spaces. For this purpose, we construct a modified three-step iteration by properly including together these two types of mappings into its formula. Under this modified iteration, a necessary and sufficient condition for the existence of a common fixed point as well as weak and strong convergence outcomes are phrased under some additional conditions.

引用

页数：18

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