ATTRACTIVE AND MEAN CONVERGENCE THEOREMS FOR TWO COMMUTATIVE NONLINEAR MAPPINGS IN BANACH SPACES

被引：0

作者：

Takahashi, Wataru ^{[1
]}

Wen, Ching-Feng

Yao, Jen-Chih

机构：

[1] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 80702, Taiwan

来源：

DYNAMIC SYSTEMS AND APPLICATIONS | 2017年 / 26卷 / 02期

基金：

日本学术振兴会;

关键词：

FIXED-POINT THEOREMS; GENERALIZED HYBRID MAPPINGS; PROXIMAL-TYPE ALGORITHM; NONEXPANSIVE-MAPPINGS; ERGODIC THEOREM; HILBERT-SPACE; WEAK-CONVERGENCE; APPROXIMATION; CONTRACTIONS; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, using the class of 2-generalized nonspreading mappings which was defined by [29] in a Banach space and covers 2-generalized hybrid mappings in a Hilbert space, we prove an attractive point theorem in a Banach space. Then we prove a mean convergence theorem of Baillon's type [2] without convexity for commutative 2-generalized nonspreading mappings in a Banach space.

引用

页码：327 / 345

页数：19

共 50 条

[31] Strong Convergence Theorems for Strongly Monotone Mappings in Banach spaces
Aibinu, M. O.
Mewomo, O. T.
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2021, 39 (01): : 169 - 187
[32] On Convergence Theorems for Generalized Alpha Nonexpansive Mappings in Banach Spaces
Bin Dehaish, Buthinah A.
Alharbi, Rawan K.
JOURNAL OF FUNCTION SPACES, 2021, 2021
[33] Another weak convergence theorems for accretive mappings in banach spaces
Satit Saejung
Kanokwan Wongchan
Pongsakorn Yotkaew
Fixed Point Theory and Applications, 2011
[34] Strong Convergence Theorems of a General Iterative Process for Two Nonexpansive Mappings in Banach Spaces
Sunthrayuth, Pongsakorn
Kumam, Poom
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2012, 14 (03) : 446 - 457
[35] Convergence theorems for a fixed point of η-demimetric mappings in banach spaces
Shahzad N.
Zegeye H.
Applied Set-Valued Analysis and Optimization, 2021, 3 (02): : 193 - 202
[36] Another weak convergence theorems for accretive mappings in banach spaces
Saejung, Satit
Wongchan, Kanokwan
Yotkaew, Pongsakorn
FIXED POINT THEORY AND APPLICATIONS, 2011,
[37] Weak and strong convergence theorems for nonexpansive mappings in Banach spaces
Suzuki, T
Takahashi, W
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (04) : 2805 - 2815
[38] Weak and Strong Convergence Theorems for Nonexpansive Mappings in Banach Spaces
Jing Zhao
Songnian He
Yongfu Su
Fixed Point Theory and Applications, 2008
[39] Strong convergence theorems for two total asymptotically nonexpansive nonself mappings in Banach spaces
Kiziltunc, Hukmi
Yolacan, Esra
FIXED POINT THEORY AND APPLICATIONS, 2013,
[40] Strong convergence theorems for two total asymptotically nonexpansive nonself mappings in Banach spaces
Hukmi Kiziltunc
Esra Yolacan
Fixed Point Theory and Applications, 2013

← 1 2 3 4 5 →