scholarly journals Split equality fixed point problem for two quasi-asymptotically pseudocontractive mappings

2017 ◽  
Vol 2017 (1) ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Problem ◽  
Point Problem ◽  
Pseudocontractive Mappings ◽  
Asymptotically Pseudocontractive Mappings

scholarly journals Split Common Fixed Point Problem for a Class of Total Asymptotic Pseudocontractions

2016 ◽  
Vol 2016 ◽  
pp. 1-10
Author(s):  
E. E. Chima ◽  
M. O. Osilike
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Problem ◽  
Point Problem ◽  
Fixed Point Set ◽  
Pseudocontractive Mappings ◽  
Common Fixed Point Problem ◽  
Asymptotically Pseudocontractive Mappings ◽  
Point Set ◽  
Split Common Fixed Point

We study the split common fixed point problem (SCFP) for a class of total asymptotically pseudocontractive mappings. We obtain some important properties of our class of mappings including the demiclosedness property and the closedness and convexity of the fixed point set. We then propose an algorithm and prove weak and strong convergence theorems for the approximation of solutions of the SCFP for certain class of these mappings.

scholarly journals The Split Common Fixed Point Problem for Total Asymptotically Strictly Pseudocontractive Mappings

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
S. S. Chang ◽  
L. Wang ◽  
Y. K. Tang ◽  
L. Yang
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Problem ◽  
Point Problem ◽  
Infinite Dimensional ◽  
Pseudocontractive Mappings ◽  
Common Fixed Point Problem ◽  
Split Common Fixed Point ◽  
Asymptotically Strictly Pseudocontractive Mappings ◽  
Strictly Pseudocontractive Mappings

The purpose of this paper is to propose an algorithm for solvingthe split common fixed point problems for total asymptotically strictly pseudocontractive mappingsin infinite-dimensional Hilbert spaces. The results presented in the paper improve and extend some recent results of Moudafi (2011 and 2010), Xu (2010 and 2006), Censor and Segal (2009), Censor et al. (2005), Masad and Reich (2007), Censor et al. (2007), Yang (2004), and others.

scholarly journals Systems of Variational Inequalities with Nonlinear Operators

Mathematics ◽  
2019 ◽  
Vol 7 (4) ◽  
pp. 338 ◽  
Author(s):  
Lu-Chuan Ceng ◽  
Qing Yuan
Keyword(s):  
Fixed Point ◽  
Variational Inequalities ◽  
Common Fixed Point ◽  
Banach Spaces ◽  
General System ◽  
Fixed Point Problem ◽  
Point Problem ◽  
Nonlinear Operators ◽  
Pseudocontractive Mappings ◽  
Common Fixed Point Problem

In this work, we concern ourselves with the problem of solving a general system of variational inequalities whose solutions also solve a common fixed-point problem of a family of countably many nonlinear operators via a hybrid viscosity implicit iteration method in 2 uniformly smooth and uniformly convex Banach spaces. An application to common fixed-point problems of asymptotically nonexpansive and pseudocontractive mappings and variational inequality problems for strict pseudocontractive mappings is also given in Banach spaces.

scholarly journals Iterations for systems of variational inequalities, fixed points of pseudocontractions and zeros of accretive operators

Filomat ◽  
2019 ◽  
Vol 33 (15) ◽  
pp. 4769-4784
Author(s):  
Lu-Chuan Ceng ◽  
Jen-Chih Yao ◽  
Yonghong Yao
Keyword(s):  
Fixed Point ◽  
Variational Inequalities ◽  
General System ◽  
Accretive Operator ◽  
Fixed Point Problem ◽  
Point Problem ◽  
Accretive Operators ◽  
Common Solution ◽  
Pseudocontractive Mappings ◽  
Systems Of Variational Inequalities

In this paper, we introduce implicit composite three-step Mann iterations for finding a common solution of a general system of variational inequalities, a fixed point problem of a countable family of pseudocontractive mappings and a zero problem of an accretive operator in Banach spaces. Strong convergence of the suggested iterations are given.

scholarly journals Hybrid Iterations for the Fixed Point Problem and Variational Inequalities

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Li-Jun Zhu ◽  
Shin Min Kang ◽  
Zhangsong Yao ◽  
Young Chel Kwun
Keyword(s):  
Fixed Point ◽  
Variational Inequalities ◽  
Strong Convergence ◽  
Convergence Analysis ◽  
Iterative Algorithm ◽  
Fixed Point Problem ◽  
Point Problem ◽  
Pseudocontractive Mappings

A hybrid iterative algorithm with Meir-Keeler contraction is presented for solving the fixed point problem of the pseudocontractive mappings and the variational inequalities. Strong convergence analysis is given aslimn→∞d(STxn,TSxn).

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