Results 31 to 40 of about 316 (157)

A Note on Common Fixed Point Results in Uniformly Convex Hyperbolic Spaces

open access: yesJournal of Mathematics, 2013
It is shown that the notion of mappings satisfying condition (K) introduced by Akkasriworn et al. (2012) is weaker than the notion of asymptotically quasi-nonexpansive mappings in the sense of Qihou (2001) and is weaker than the notion of pointwise ...
W. Laowang, B. Panyanak
doaj   +1 more source

Δ-convergence for proximal point algorithm and fixed point problem in CAT(0) spaces

open access: yesFixed Point Theory and Applications, 2019
In this paper, we prove the Δ-convergence of a modified proximal point algorithm for common fixed points in a CAT(0) space for different classes of generalized nonexpansive mappings including a total asymptotically nonexpansive mapping, a multivalued ...
Shamshad Husain, Nisha Singh
doaj   +1 more source

On Strengthened Inertial-Type Subgradient Extragradient Rule with Adaptive Step Sizes for Variational Inequalities and Fixed Points of Asymptotically Nonexpansive Mappings

open access: yesMathematics, 2022
In a real Hilbert space, let the VIP denote a pseudomonotone variational inequality problem with Lipschitz continuity operator, and let the CFPP indicate a common fixed-point problem of finitely many nonexpansive mappings and an asymptotically ...
Lu-Chuan Ceng   +3 more
doaj   +1 more source

Note on some results for asymptotically pseudocontractive mappings and asymptotically nonexpansive mappings [PDF]

open access: yesFixed Point Theory and Applications, 2006
AbstractWe discuss convergence theorems of modified Ishikawa and Mann iterative sequences with errors for asymptotically pseudocontractive and asymptotically nonexpansive mappings in Banach spaces, and the boundedness of the domain and range can be dropped, generalizing theorems of Chang.
Tang Yuchao, Liu Liwei
openaire   +4 more sources

Fixed Points of Monotone Total Asymptotically Nonexpansive Mapping in Hyperbolic Space via New Algorithm [PDF]

open access: yes, 2021
In this article, we consider an extensive class of monotone nonexpansive mappings and introduce a new iteration algorithm to approximate the fixed point for monotone total asymptotically nonexpansive mappings in the framework of hyperbolic space.
Maliha Rashid   +13 more
core   +1 more source

Convergence theorems for nonself asymptotically nonexpansive mappings

open access: yesComputers & Mathematics with Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Safeer Hussain Khan, Nawab Hussain
openaire   +4 more sources

On Asymptotically Quasi‐ϕ‐Nonexpansive Mappings in the Intermediate Sense [PDF]

open access: yesAbstract and Applied Analysis, 2012
A projection iterative process is investigated for the class of asymptotically quasi‐ϕ‐nonexpansive mappings in the intermediate sense. Strong convergence theorems of common fixed points of a family of asymptotically quasi‐ϕ‐nonexpansive mappings in the intermediate sense are established in the framework of Banach spaces.
Qin, Xiaolong, Wang, Lin
openaire   +3 more sources

Weak convergence of an implicit iterative process with errors for an asymptotically quasi I-nonexpansive mapping in Banach spaces

open access: yes, 2011
In this paper we prove the weak convergence of the implicit iterative process with errors to a common fixed point of an asymptotically quasi I-nonexpansive mapping T and an asymptotically quasi-nonexpansive mapping I in Banach ...
Mukhamedov, Farrukh   +3 more
core   +1 more source

Fixed-point iteration processes for non-Lipschitzian mappings of asymptotically quasi-nonexpansive type [PDF]

open access: yes, 2003
We study convergences of Mann and Ishikawa iteration processes for mappings of asymptotically quasi-nonexpansive type in Banach spaces. 2000 Mathematics Subject Classification: 47H09, 47H10. 1. Introduction and preliminaries.
Daya Ram Sahu   +2 more
core   +1 more source

Convergence of Hybrid Fixed Point for a Pair of Nonlinear Mappings in Banach Spaces

open access: yesInternational Journal of Analysis and Applications, 2015
In this paper, we study hybrid fixed point of a modified two-step iteration process with errors for a pair of asymptotically quasi-nonexpansive mapping and asymptotically quasi-nonexpansive mapping in the intermediate sense in the framework of Banach ...
G. S. Saluja
doaj   +2 more sources

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