ATTRACTIVE POINT THEOREMS AND ERGODIC THEOREMS FOR NONLINEAR MAPPINGS IN HILBERT SPACES

被引：16

作者：

Lin, Lai-Jiu ^{[1
]}

Takahashi, Wataru ^{[1
,2
]}

机构：

[1] Natl Changhua Univ Educ, Dept Math, Changhua, Taiwan

[2] Tokyo Inst Technol, Dept Math & Comp Sci, Tokyo 1528552, Japan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2012年 / 16卷 / 05期

基金：

日本学术振兴会;

关键词：

Attractive point; Banach limit; Fixed point; Generalized hybrid mapping; Hilbert space; Nonexpansive mapping; 2-Generalized hybrid mapping; GENERALIZED HYBRID MAPPINGS; WEAK-CONVERGENCE THEOREMS; FIXED-POINT; NONEXPANSIVE-MAPPINGS; SEMIGROUP; OPERATORS;

D O I：

10.11650/twjm/1500406795

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, using Banach limits, we study attractive points and fixed points of nonlinear mappings in Hilbert spaces. Then we obtain attractive point theorems and fixed point theorems for nonlinear mappings in Hilbert spaces. Using these results, we finally prove a nonlinear ergodic theorem for 2-generalized hybrid mappings in Hilbert spaces.

引用

页码：1763 / 1779

页数：17

共 50 条

[41] WEAK CONVERGENCE THEOREMS FOR 2-GENERALIZED HYBRID MAPPINGS IN HILBERT SPACES
Takahashi, Wataru
Termwuttipong, Imchit
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2011, 12 (02) : 241 - 255
[42] Strong convergence theorems for 2-generalized hybrid mappings in Hilbert spaces
Hojo, Mayumi
Takahashi, Wataru
Termwuttipong, Imchit
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (04) : 2166 - 2176
[43] Attractive point and mean convergence theorems for semigroups of mappings without continuity in Banach spaces
Wataru Takahashi
Ngai-Ching Wong
Jen-Chih Yao
Journal of Fixed Point Theory and Applications, 2014, 16 : 203 - 227
[44] Fixed point, convergence and nonlinear ergodic theorems for some semigroups in Hilbert spaces
Hossein Piri
Bayaz Daraby
Asghar Rahimi
Mostafa Ghasemi
Journal of Fixed Point Theory and Applications, 2020, 22
[45] Nonlinear Mean Ergodic Theorems for Semigroups in Hilbert Spaces
Seyit Temir
Ozlem Gul
Fixed Point Theory and Applications, 2007
[46] Nonlinear ergodic theorems for semigroups of non-Lipschitzian mappings in Banach spaces
Miyadera, I
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 50 (01) : 27 - 39
[47] WEAK AND STRONG CONVERGENCE THEOREMS FOR GENERALIZED HYBRID NONSELF-MAPPINGS IN HILBERT SPACES
Takahashi, Wataru
Yao, Jen-Chih
Kocourek, Pavel
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2010, 11 (03) : 567 - 586
[48] WEAK AND STRONG CONVERGENCE THEOREMS FOR NONCOMMUTATIVE TWO GENERALIZED HYBRID MAPPINGS IN HILBERT SPACES
Takahashi, Wataru
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2018, 19 (05) : 867 - 880
[49] ATTRACTIVE AND MEAN CONVERGENCE THEOREMS FOR TWO COMMUTATIVE NONLINEAR MAPPINGS IN BANACH SPACES
Takahashi, Wataru
Wen, Ching-Feng
Yao, Jen-Chih
DYNAMIC SYSTEMS AND APPLICATIONS, 2017, 26 (02): : 327 - 345
[50] FIXED POINT THEOREMS AND MEAN CONVERGENCE THEOREMS FOR GENERALIZED HYBRID SELF MAPPINGS AND NON-SELF MAPPINGS IN HILBERT SPACES
Kawasaki, Toshiharu
PACIFIC JOURNAL OF OPTIMIZATION, 2016, 12 (01): : 133 - 150

← 1 2 3 4 5 →