Results 61 to 70 of about 316 (157)

Strong Convergence Theorems for Variational Inequalities and Common Fixed-Point Problems Using Relaxed Mann Implicit Iteration Methods

Mathematics, 2019
Mann-like iteration methods are significant to deal with convex feasibility problems in Banach spaces. We focus on a relaxed Mann implicit iteration method to solve a general system of accretive variational inequalities with an asymptotically ...
Lu-Chuan Ceng, Meijuan Shang
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Mann and Ishikawa iterations with errors for asymptotically nonexpansive mappings

, 1999
In a recent paper, Rhoades [1] presented some generalizations of Schu [2] on the convergence of the Mann and Ishikawa iterations of asymptotically nonexpansive mappings in uniformly convex Banach spaces.
Huang, Zhenyu
core   +1 more source

An Iteration to a Common Point of Solution of Variational Inequality and Fixed Point-Problems in Banach Spaces

Journal of Applied Mathematics, 2012
We introduce an iterative process which converges strongly to a common point of solution of variational inequality problem for a monotone mapping and fixed point of uniformly Lipschitzian relatively asymptotically nonexpansive mapping in Banach spaces ...
H. Zegeye, N. Shahzad
doaj   +1 more source

Strong convergence for monotone bilevel equilibria with constraints of variational inequalities and fixed points using subgradient extragradient implicit rule

Journal of Inequalities and Applications, 2021
In a real Hilbert space, let GSVI and CFPP represent a general system of variational inequalities and a common fixed point problem of a countable family of nonexpansive mappings and an asymptotically nonexpansive mapping, respectively. In this paper, via
Long He, Yun-Ling Cui, Lu-Chuan Ceng, Tu-Yan Zhao, Dan-Qiong Wang, Hui-Ying Hu   +5 more
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Convexity in quasi-metric spaces

, 2012
Includes abstract.Includes bibliographical references.The principal aim of this thesis is to investigate the existence of an injective hull in the categories of T-quasi-metric spaces and of T-ultra-quasi-metric spaces with nonexpansive ...
Otafudu, Olivier Olela
core  

Iterative Sequences for Asymptotically Quasi-nonexpansive Mappings

Journal of Mathematical Analysis and Applications, 2001
Some sufficient and necessary conditions are obtained for Ishikawa iterative sequences of asymtotically quasi-nonexpansive mappings to converge to their respective fixed points.
openaire   +2 more sources

On Weak and Strong Convergence of an Explicit Iteration Process for a Total Asymptotically Quasi-I-Nonexpansive Mapping in Banach Space

, 2014
In this paper, we introduce a new class of Lipschitzian maps and prove some weak and strong convergence results for explicit iterative process using a more satisfactory definition of self mappings.
Purtas, Yunus, KIZILTUNÇ, Hükmi
core   +1 more source

Fixed point iteration for asymptotically quasi-nonexpansive mappings in Banach spaces

International Journal of Mathematics and Mathematical Sciences, 2005
Suppose that C is a nonempty closed convex subset of a real uniformly convex Banach space X. Let T:C→C be an asymptotically quasi-nonexpansive mapping. In this paper, we introduce the three-step iterative scheme for such map with error members. Moreover,
Somyot Plubtieng, Rabian Wangkeeree
doaj   +1 more source

Hybrid mixed type iteration scheme for asymptotically nonexpansive mappings and total asymptotically nonexpansive non-self mappings [PDF]

Mathematica Moravica, 2016
In this paper, we proposed a new two-step iteration scheme of hybrid mixed type for two asymptotically nonexpansive self mappings and two total asymptotically nonexpansive non-self mappings and establish some strong convergence theorems for mentioned scheme and mappings in real Banach spaces.
openaire   +2 more sources

A fixed point theorem for asymptotically nonexpansive mappings

, 1972
Let K be a subset of a Banach space X. A mapping F : K → K F:K \to K is said to be asymptotically nonexpansive if there exists a sequence { k i
W. A. Kirk, K. Goebel
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