ERGODIC TYPE THEOREMS FOR NONSPREADING MAPPINGS

被引：0

作者：

Muglia, Luigi ^{[1
]}

Marino, Giuseppe ^{[1
,2
]}

Hussain, Nawab ^{[2
]}

Alamri, Badriah A. S. ^{[2
]}

机构：

[1] Univ Calabria, Dipartimento Matemat, I-87036 Arcavacata Di Rende, CS, Italy

[2] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2016年 / 17卷 / 10期

关键词：

Variational inequality; nonspreading mapping; Cesaro means; nonlinear Ergodic convergence; NONEXPANSIVE-MAPPINGS; CONVERGENCE THEOREMS; CONTRACTIONS; SPACES; WEAK;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

To our knowledge it is not known whether a strong convergence theorem of Halpern's type for nonspreading mappings holds or not, even in Hilbert space. In this paper we obtain some partial positive answers, that are meaningful in the context of variational inequalities, by using ergodic type theorems.

引用

页码：2071 / 2082

页数：12

共 50 条

[41] Fixed point theorems for a new nonlinear mapping similar to a nonspreading mapping
Suzuki, Tomonari
FIXED POINT THEORY AND APPLICATIONS, 2014,
[42] Common fixed points for some generalized nonexpansive mappings and nonspreading-type mappings in uniformly convex Banach spaces
Inthakon, Warunun
Kaewkhao, Attapol
Niyamosot, Nutchari
FIXED POINT THEORY AND APPLICATIONS, 2012,
[43] Fixed point theorems for Lipschitzian type mappings in CAT(0) spaces
Abbas, Mujahid
Kadelburg, Zoran
Sahu, D. R.
MATHEMATICAL AND COMPUTER MODELLING, 2012, 55 (3-4) : 1418 - 1427
[44] Approximation of common solution of a system of equilibrium problem and fixed point of generalized Bregman nonspreading mappings in Banach spaces
Aphane, Maggie
Jolaoso, Lateef Olakunle
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2022, 15 (11)
[45] Weak and Strong Convergence of Hybrid Subgradient Method for Pseudomonotone Equilibrium Problems and Nonspreading-Type Mappings in Hilbert Spaces
Sriprad, Wanna
Srisawat, Somnuk
KYUNGPOOK MATHEMATICAL JOURNAL, 2019, 59 (01): : 83 - 99
[46] ON MODULATED ERGODIC THEOREMS
Eisner, Tanja
Lin, Michael
JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2018, 2 (02): : 131 - 154
[47] Strong convergence of the hybrid method for a finite family of nonspreading mappings and variational inequality problems
Kangtunyakarn, Atid
FIXED POINT THEORY AND APPLICATIONS, 2012,
[48] FIXED POINT THEOREMS FOR α-ψ-CONTRACTIVE TYPE MAPPINGS OF INTEGRAL TYPE WITH APPLICATIONS
Shahi, Priya
Kaur, Jatinderdeep
Bhatia, S. S.
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (04) : 745 - 760
[49] MEAN ERGODIC THEOREMS FOR ALMOST PERIODIC SEMIGROUPS
Miyake, Hiromichi
Takahashi, Wataru
TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (3B): : 1079 - 1091
[50] On Solving the Equilibrium Problem and Fixed Point Problem for Nonspreading Mappings and Lipschitzian Mappings in Hilbert Spaces
Suwannaut, Sarawut
THAI JOURNAL OF MATHEMATICS, 2019, 17 : 103 - 127

← 1 2 3 4 5 →