FIXED POINT AND NONLINEAR ERGODIC THEOREMS FOR SOME NEW TYPE SEMIGROUPS OF MAPPINGS

被引：1
|
作者：
Piri, Hussein [1 ]
Ghasemi, Mostafa [1 ]
机构：
[1] Univ Bonab, Dept Math, Bonab, Iran
来源：
FIXED POINT THEORY | 2023年 / 24卷 / 01期
关键词：
Fixed point theorem; generalized nonlinear ergodic theorem; nonspread-ing retraction; convergence theorem; ALPHA-NONEXPANSIVE MAPPINGS; STRONG-CONVERGENCE THEOREMS; WEAK-CONVERGENCE; CONTINUITY;
D O I：
10.24193/fpt-ro.2023.1.18
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, some new type of semigroups of mappings are introduced. Then, by using the theory of invariant means, fixed point theorem, and existence of nonspreading retraction for these semigroup are deduced and the illustrative examples are given. Also, weak convergence theorem of Mann's type, generalized Baillon's nonlinear ergodic theorem and strong convergence theorem of Halpern's type for such semigroups in the Hilbert space are considered. At the end, some applications are investigated.
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页码：323 / 342
页数：20
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