Results 21 to 30 of about 1,166 (111)
Fixed points of asymptotically regular nonexpansive mappings on nonconvex sets
Abstract and Applied Analysis, Volume 2003, Issue 2, Page 83-91, 2003., 2003 It is shown that if X is a Banach space and C is a union of finitely many nonempty, pairwise disjoint, closed, and connected subsets {Ci : 1 ≤ i ≤ n } of X, and each Ci has the fixed‐point property (FPP) for asymptotically regular nonexpansive mappings, then any asymptotically regular nonexpansive self‐mapping of C has a fixed point. We also generalize
Wiesława Kaczor
wiley +1 more source
On a fixed point theorem with application to functional equations
Open Mathematics, 2019 The purpose of this paper is to study behavior of a rational type contraction introduced in [A fixed point theorem for contractions of rational type in partially ordered metric spaces, Ann. Univ.
Nazam Muhammad +3 more
doaj +1 more source
A weak ergodic theorem for infinite products of Lipschitzian mappings
Abstract and Applied Analysis, Volume 2003, Issue 2, Page 67-74, 2003., 2003 Let K be a bounded, closed, and convex subset of a Banach space. For a Lipschitzian self‐mapping A of K, we denote by Lip(A) its Lipschitz constant. In this paper, we establish a convergence property of infinite products of Lipschitzian self‐mappings of K.
Simeon Reich, Alexander J. Zaslavski
wiley +1 more source
Demonstratio Mathematica, 2019 In this paper, we provide some generalizations of the Darbo’s fixed point theorem associated with the measure of noncompactness and present some results on the existence of the coupled fixed point theorems for a special class of operators in a Banach ...
Rehman Habib ur +2 more
doaj +1 more source
A remark on the approximate fixed‐point property
Abstract and Applied Analysis, Volume 2003, Issue 2, Page 93-99, 2003., 2003 We give an example of an unbounded, convex, and closed set C in the Hilbert space l2 with the following two properties: (i) C has the approximate fixed‐point property for nonexpansive mappings, (ii) C is not contained in a block for every orthogonal basis in l2.
Tadeusz Kuczumow
wiley +1 more source
A look at nonexpansive mappings in non-Archimedean vector spaces
Moroccan Journal of Pure and Applied Analysis, 2021 In a spherically complete ultrametric space every nonexpansive self-mapping T has a fixed point ̄x or a minimal invariant ball B(̄x, d(̄x, T(̄x)). We show how we can approximate this fixed center ̄x in a non-Archimedean vector space.
Lazaiz Samih
doaj +1 more source
Mann iterates of directionally nonexpansive mappings in hyperbolic spaces
Abstract and Applied Analysis, Volume 2003, Issue 8, Page 449-477, 2003., 2003 In a previous paper, the first author derived an explicit quantitative version of a theorem due to Borwein, Reich, and Shafrir on the asymptotic behaviour of Mann iterations of nonexpansive mappings of convex sets C in normed linear spaces. This quantitative version, which was obtained by a logical analysis of the ineffective proof given by Borwein ...
Ulrich Kohlenbach, Laurenţiu Leuştean
wiley +1 more source
Mixed-type SP-iteration for asymptotically nonexpansive mappings in hyperbolic spaces
Demonstratio Mathematica, 2023 In this article, we introduce and study some strong convergence theorems for a mixed-type SP-iteration for three asymptotically nonexpansive self-mappings and three asymptotically nonexpansive nonself-mappings in uniformly convex hyperbolic spaces.
Paimsang Papinwich, Thianwan Tanakit
doaj +1 more source
Local uniform linear convexity with respect to the Kobayashi distance
Abstract and Applied Analysis, Volume 2003, Issue 6, Page 367-373, 2003., 2003 We introduce the notion of local uniform linear convexity of bounded convex domains with respect to their Kobayashi distances.
Monika Budzyńska
wiley +1 more source
An iterative approach to a constrained least squares problem
Abstract and Applied Analysis, Volume 2003, Issue 8, Page 503-512, 2003., 2003 A constrained least squares problem in a Hilbert space H is considered. The standard Tikhonov regularization method is used. In the case where the set of the constraints is the nonempty intersection of a finite collection of closed convex subsets of H, an iterative algorithm is designed.
Simeon Reich, Hong-Kun Xu
wiley +1 more source