Ishikawa type mean convergence theorems for finding common fixed points of nonlinear mappings in Hilbert spaces

被引：7

作者：

Kondo, Atsumasa ^{[1
]}

机构：

[1] Shiga Univ, Dept Econ, Banba 1-1-1, Hikone, Shiga 5220069, Japan

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2023年 / 72卷 / 02期

关键词：

Ishikawa iteration; Mean iteration; Mean-demiclosed mapping; Common fixed point; GENERALIZED HYBRID MAPPINGS; NONEXPANSIVE-MAPPINGS; ERGODIC-THEOREMS; MULTIVALUED MAPPINGS; WEAK; APPROXIMATION; ITERATION; EXISTENCE;

D O I：

10.1007/s12215-022-00742-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Combining the ideas of Ishikawa iteration and mean iteration, we establish weak convergence theorems for finding common fixed points of nonlinear mappings. The mappings are not necessarily continuous or commutative. We consider a class of mappings which includes nonexpansive mappings, generalized hybrid mappings and normally 2-generalized hybrid mappings as special cases. Our result generates many alternative iteration schemes to approximate common fixed points of nonlinear mappings and improves many existing theorems in the literature.

引用

页码：1417 / 1435

页数：19

共 50 条

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[J]. Rendiconti del Circolo Matematico di Palermo Series 2, 2023, 72 : 1417 - 1435
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