Results 91 to 100 of about 1,172,576 (205)

Convergence Analysis of an Accelerated Iteration for Monotone Generalized α-Nonexpansive Mappings with a Partial Order

Journal of Function Spaces, 2019
In this paper, we introduce a new accelerated iteration for finding a fixed point of monotone generalized α-nonexpansive mapping in an ordered Banach space.
Yi-An Chen, Dao-Jun Wen
doaj   +1 more source

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, Kiziltunc H.   +2 more
core   +1 more source

Mixed Approximation for Nonexpansive Mappings in Banach Spaces

Abstract and Applied Analysis, 2010
The mixed viscosity approximation is proposed for finding fixed points of nonexpansive mappings, and the strong convergence of the scheme to a fixed point of the nonexpansive mapping is proved in a real Banach space with uniformly Gâteaux differentiable ...
Qing-Bang Zhang, Fu-Quan Xia, Ming-Jie Liu   +2 more
doaj   +1 more source

A viscosity iterative technique for equilibrium and fixed point problems in a Hadamard space

Applied General Topology, 2019
The main purpose of this paper is to introduce a viscosity-type proximal point algorithm, comprising of a nonexpansive mapping and a finite sum of resolvent operators associated with monotone bifunctions. A strong convergence of the proposed algorithm to
C. Izuchukwu, K. O. Aremu, A. A. Mebawondu, O. T. Mewomo   +3 more
doaj   +1 more source

On Enriched Suzuki Mappings in Hadamard Spaces

Mathematics
We define and study enriched Suzuki mappings in Hadamard spaces. The results obtained here are extending fundamental findings previously established in related research.
Teodor Turcanu, Mihai Postolache
doaj   +1 more source

Existence Results of best Proximity Pairs for a Certain Class of Noncyclic Mappings in Nonreflexive Banach Spaces Polynomials

پژوهش‌های ریاضی, 2018
Introduction Let  be a nonempty subset of a normed linear space . A self-mapping  is said to be nonexpansive provided that  for all . In 1965, Browder showed that every nonexpansive self-mapping defined on a nonempty, bounded, closed and convex subset of
Moosa Gabeleh
doaj  

Some Convergence Theorems of Modified Proximal Point Algorithms for Nonexpansive Mappings in CAT(0) Spaces [PDF]

Results in Nonlinear Analysis, 2018
In this paper, a new modified proximal point algorithm is proposed for finding a common element of the set of fixed points of a single-valued nonexpansive mapping, and the set of fixed points of a multivalued nonexpansive mapping, and the set of ...
Shengquan Weng , Dingping Wu
doaj  

Generalized System for Relaxed Cocoercive and Involving Projective Nonexpansive Mapping Variational Inequalities

, 2011
Firstly, the concept of projective nonexpansive mappings is presented in this paper. The approximate solvability of a generalized system for relaxed cocoercive and involving projective nonexpansive mapping nonlinear variational inequalities in Hilbert ...
Yong Fu Su, Guang Hui Gu
core   +1 more source

Robustness of Mann Type Algorithm with Perturbed Mapping for Nonexpansive Mappings in Banach Spaces

, 2010
The purpose of this paper is to study the robustness of Mann type algorithm in the sense that approximately perturbed mapping does not alter the convergence of Mann type algorithm.
Ceng LC, Yao JC, Liou YC
core  

APPROXIMATING OF FIXED POINTS FOR MULTI-VALUED GENERALIZED ?–NONEXPANSIVE MAPPINGS IN BANACH SPACES

, 2023
In this paper, we study multi-valued generalized ?nonexpansive mappings in uniformly convex Banach spaces. We introduce a new multi-valued iterative process and prove some weak and strong convergence results in uniformly convex Banach space.
Temir, S.
core