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.
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收藏
页数：18
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