WEAK AND STRONG CONVERGENCE THEOREMS FOR m-GENERALIZED HYBRID MAPPINGS IN HILBERT SPACES

被引：15

作者：

Alizadeh, Sattar ^{[1
]}

Moradlou, Fridoun ^{[1
]}

机构：

[1] Sahand Univ Technol, Dept Math, Tabriz, Iran

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2015年 / 46卷 / 01期

关键词：

Fixed point; Hilbert space; hybrid method; strong convergence; weak convergence; FIXED-POINT THEOREMS; NONEXPANSIVE-MAPPINGS; NONLINEAR MAPPINGS; ERGODIC-THEOREMS; EXAMPLE;

D O I：

10.12775/TMNA.2015.049

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove a weak convergence theorem of Ishikawa's type for m-generalized hybrid mappings in a Hilbert space. Further, by using a new modification of Ishikawa iteration, we prove a strong convergence theorem for m-generalized hybrid mappings in a Hilbert space.

引用

页码：315 / 328

页数：14

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