Results 21 to 30 of about 160 (103)
On θ-generalized demimetric mappings and monotone operators in Hadamard spaces
Demonstratio Mathematica, 2020 Our main interest in this article is to introduce and study the class of θ-generalized demimetric mappings in Hadamard spaces. Also, a Halpern-type proximal point algorithm comprising this class of mappings and resolvents of monotone operators is ...
Ogwo Grace N. +3 more
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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
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Demonstratio Mathematica, 2020 In this study, at first we prove that the existence of best proximity points for cyclic nonexpansive mappings is equivalent to the existence of best proximity pairs for noncyclic nonexpansive mappings in the setting of ...
Gabeleh Moosa, Künzi Hans-Peter A.
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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
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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
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this article, we introduce a new class of cyclic and noncyclic condensing operators that extend the notion of condensing mappings previously proposed by Gabeleh and Markin (M. Gabeleh and J. Markin, Optimum solutions for a system of differential equations via measure of noncompactness, Indagationes Mathematicae, 29(3) [2018], 895–906).
A. Pradhan +4 more
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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
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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
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Applications of Asymptotic Fixed Point Theorems in A‐Metric Spaces to Integral Equations
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this paper, using asymptotically regular sequences and mappings other than Picard operators, the most general forms of Hardy–Rogers and Ćirić fixed point theorems in the framework of A‐metric space are presented. Furthermore, we give some applications to integral equations, which show the effectiveness of fixed point results presented herein.
Ismat Beg +4 more
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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
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