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L^0-CONVEX COMPACTNESS AND RANDOM NORMAL STRUCTURE IN L^0(F,B): 《Acta Mathematica Scientia》2020年第2期457-469,共13页Tiexin GUO Erxin ZHANG Yachao WANG George YUAN; This work was supported by National Natural Science Foundation of China(11571369)。; Let(B,||·||)be a Banach space,(?,F,P)a probability space,and L^0(F,B)the set of equivalence classes of strong random elements(or strongly measurable functions)from(?,F,P)to(B,||·||).It is well known that L^0(F,B)bec...; 关键词：Complete random normed modules fixed point theorem L^0-convex compactness random normal structure random nonexpansive operators

ALGORITHMS FOR A SYSTEM OF GENERALIZED MIXED EQUILIBRIUM PROBLEMS AND A COUNTABLE FAMILY OF SOME NONLINEAR MULTI-VALUED NONEXPANSIVE-TYPE MAPS: 《Acta Mathematica Scientia》2018年第6期1805-1820,共16页Ogonnaya Michael ROMANUS Ukamaka Victoria NNYABA Monday Ogudu NNAKWE; In this paper, relaxed iterative algorithms of Krasnoselskii-type and Halpern-type that approximate a solution of a system of a generalized mixed equilibrium problem anda common fixed point of a countable family of to...; 关键词：Halpern-type algorithm Krasnoselskii-type algorithm system of generalizedmixed equilibrium problems totally quasi-C-asymptotically nonexpansive multi-valued maps equally continuous maps

An Iterative Algorithm for Generalized Mixed Equilibrium Problems and Fixed Points of Nonexpansive Semigroups被引量：1: 《Journal of Applied Mathematics and Physics》2017年第2期276-293,共18页Jong Kyu Kim Salahud din Won Hee Won Hee; In this works, by using the modified viscosity approximation method associated with Meir-Keeler contractions, we proved the convergence theorem for solving the fixed point problem of a nonexpansive semigroup and gener...; 关键词：Meir-Keeler Contraction MAPPINGS Left Regular Generalized Mixed Equilibrium Problems Variational INEQUALITIES α-Inverse Strongly MONOTONE MAPPINGS NONEXPANSIVE SEMIGROUPS

VISCOSITY APPROXIMATION METHODS FOR THE SPLIT EQUALITY COMMON FIXED POINT PROBLEM OF QUASI-NONEXPANSIVE OPERATORS被引量：1: 《Acta Mathematica Scientia》2016年第5期1474-1486,共13页赵静王盛楠; supported by National Natural Science Foundation of China(61503385);Fundamental Research Funds for the Central Universities of China(3122016L002); Let H;, H;, H;be real Hilbert spaces, let A : H;→ H;, B : H;→ H;be two bounded linear operators. The split equality common fixed point problem（SECFP） in the infinite-dimensional Hilbert spaces introduced by Moudaf...; 关键词：split equality common fixed point problems quasi-nonexpansive operator strong convergence viscosity iterative algorithms Hilbert space

The New Viscosity Approximation Methods for Nonexpansive Nonself-Mappings: 《International Journal of Modern Nonlinear Theory and Application》2016年第2期104-113,共10页Chao Liu Meimei Song; In this paper, to find the fixed points of the nonexpansive nonself-mappings, we introduced two new viscosity approximation methods, and then we prove the iterative sequences defined by above viscosity approximation m...; 关键词：Fixed Points Nonexpansive Nonself-Mappings Viscosity Approximation Methods Real Banach Space

Strong Convergence for a Countable Family of Total Quasi-φ-asymptotically Nonexpansive Nonself Mappings in Banach Space被引量：1: 《Communications in Mathematical Research》2015年第1期31-39,共9页WANG XIONG-RUI QUAN JING Ji You-qing; Scientific Research Fund(2011JYZ010)of Science Technology Department of Sichuan Province;Scientific Research Fund(11ZA172 and 12ZB345)of Sichuan Provincial Education Department; The purpose of this article is to introduce a class of total quasi-Ф- asymptotically nonexpansive nonself mappings. Strong convergence theorems for common fixed points of a countable family of total quasi-Ф-asymptot...; 关键词：strong convergence total quasi-Ф-asymptoticaily nonexpansive nonself generalized projection

Convergence Theorem of Hybrid Iterative Algorithm for Equilibrium Problems and Fixed Point Problems of Finite Families of Uniformly Asymptotically Nonexpansive Semigroups: 《Advances in Pure Mathematics》2014年第6期244-252,共9页Hongbo Liu Yi Li; Throughout this paper, we introduce a new hybrid iterative algorithm for finding a common element of the set of common fixed points of a finite family of uniformly asymptotically nonexpansive semigroups and the set of...; 关键词：HYBRID Iterative Algorithm UNIFORMLY ASYMPTOTICALLY NONEXPANSIVE SEMIGROUPS EQUILIBRIUM Problem Common Fixed Point

Common Fixed Point Iterations of Generalized Asymptotically Quasi-Nonexpansive Mappings in Hyperbolic Spaces: 《Journal of Applied Mathematics and Physics》2014年第5期170-175,共6页A. R. Khan H. Fukhar-ud-din; We introduce a general iterative method for a finite family of generalized asymptotically quasi- nonexpansive mappings in a hyperbolic space and study its strong convergence. The new iterative method includes multi-st...; 关键词：HYPERBOLIC Space General ITERATIVE Method Generalized ASYMPTOTICALLY Quasi-Nonexpansive Mapping Common Fixed Point Strong Convergence

Common Fixed Point Theorems for Totally Quasi-G-Asymptotically Nonexpansive Semigroups with the Generalized f-Projection: 《Applied Mathematics》2014年第1期25-34,共10页Chunjie Wang Yuanheng Wang; In this paper, we introduce some new classes of the totally quasi-G-asymptotically nonexpansive mappings and the totally quasi-G-asymptotically nonexpansive semigroups. Then, with the generalized f-projection operator...; 关键词：Totally Quasi-G-Asymptotically NONEXPANSIVE SEMIGROUP Generalized f-Projection Operator Modified Halpern Type Hybrid Iterative Algorithm Strong Convergence Theorem

Fixed Point Theorem of{a, b, c}Contraction and Nonexpansive Type Mappings in Weakly Cauchy Normed Spaces: 《Analysis in Theory and Applications》2013年第3期280-288,共9页Sahar Mohamed Ali; Let C be a closed convex weakly Cauchy subset of a normed space X. Then we define a new {a,b,c} type nonexpansive and {a,b,c} type contraction mapping T from C into C. These types of mappings will be denoted respectiv...; 关键词：Fixed point generalized type of contaction and nonexpansive mappings normed space.

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