Results 91 to 100 of about 316 (157)

Strong Convergence of a Hybrid Iteration Scheme for Equilibrium Problems, Variational Inequality Problems and Common Fixed Point Problems, of Quasi-ϕ-Asymptotically Nonexpansive Mappings in Banach Spaces

Journal of Applied Mathematics, 2012
We introduce an iterative algorithm for finding a common element of the set of common fixed points of a finite family of closed quasi-ϕ-asymptotically nonexpansive mappings, the set of solutions of an equilibrium problem, and the set of solutions of the ...
Jing Zhao
doaj   +1 more source

Strong Convergence of Averaged Approximants for Asymptotically Nonexpansive Mappings in Banach Spaces

, 1999
LetCbe a closed, convex subset of a uniformly convex Banach space whose norm is uniformly Gâteaux differentiable and letTbe an asymptotically nonexpansive mapping fromCinto itself such that the setF(T) of fixed points ofTis nonempty.
Takahashi, Wataru, Shioji, Naoki
core   +1 more source

Generalized Mixed Equilibria, Variational Inclusions, and Fixed Point Problems

Abstract and Applied Analysis, 2014
We propose two iterative algorithms for finding a common element of the set of solutions of finite generalized mixed equilibrium problems, the set of solutions of finite variational inclusions for maximal monotone and inverse strong monotone mappings ...
A. E. Al-Mazrooei, A. S. M. Alofi, A. Latif, J.-C. Yao   +3 more
doaj   +1 more source

Convergence on Composite Iterative Schemes for Nonexpansive Mappings in Banach Spaces

Fixed Point Theory and Applications, 2008
Let E be a reflexive Banach space with a uniformly Gâteaux differentiable norm. Suppose that every weakly compact convex subset of E has the fixed point property for nonexpansive mappings.
Jong Soo Jung
doaj   +1 more source

Weak and strong convergence of an explicit iteration process for an asymptotically quasi-i-nonexpansive mapping in Banach spaces

In this paper, we prove the weak and strong convergence of an explicit iterative process to a common fixed point of an asymptotically quasi-I-nonexpansive mapping T and an asymptotically quasi-nonexpansive mapping I, defined on a nonempty closed convex ...
Kiziltunc, H, Purtas, Y
core  

Nonlinear ergodic theorems for asymptotically nonexpansive mappings in Banach spaces satisfying Opial's condition

, 1991
The following theorem is proven: If E is a uniformly convex Banach space satisfying Opial's condition, C is a nonempty bounded closed convex subset of E, and T: C → C is an asymptotically nonexpansive mapping then the iterates {Tnx} are weakly almost ...
Górnicki, Jarosław
core   +1 more source

On the approximation problem of common fixed points for a finite family of non-self asymptotically quasi-nonexpansive-type mappings in Banach spaces

, 2007
The purpose of this paper is to introduce the concept of non-self asymptotically quasi-nonexpansive-type mappings and to construct a iterative sequence to converge to a common fixed point for a finite family of non-self asymptotically quasi-nonexpansive ...
Huang, J.L., Tian, Y.X., Chang, S.S.
core   +1 more source

Convergence theorems of finite-step iteration with errors for non-self asymptotically nonexpansive in the intermediate sense mappings

, 2011
Let K be a nonempty closed convex nonexpansive retract of a uniformly convex Banach space E with P as a nonexpansive retraction. Let T : K ? E be non-self asymptotically nonexpansive in the intermediate sense mapping with F(T) = ?.
G.S. Saluja
core   +1 more source

Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-ϕ-nonexpansive mappings

Fixed Point Theory and Applications, 2011
We consider a hybrid projection method for finding a common element in the fixed point set of an asymptotically quasi-ϕ-nonexpansive mapping and in the solution set of an equilibrium problem.
Kim Jong
doaj  

Solving the multiple-set split equality common fixed-point problem of firmly quasi-nonexpansive operators. [PDF]

J Inequal Appl, 2018
Zhao J, Zong H.
europepmc   +1 more source