Results 31 to 40 of about 9,111 (245)
Convergence of Generalized Quasi-Nonexpansive Mappings in Hyperbolic Space
Journal of Function Spaces, 2022 In this article, we consider a wider class of nonexpansive mappings (locally related quasi-nonexpansive) than monotone nonexpansive mappings. We obtained the convergence of fixed point for quasi ϱ-preserving locally related quasi-nonexpansive mappings in
Naeem Saleem +3 more
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Nonconvex notions of regularity and convergence of fundamental algorithms for feasibility problems [PDF]
, 2013 We consider projection algorithms for solving (nonconvex) feasibility problems in Euclidean spaces. Of special interest are the Method of Alternating Projections (MAP) and the Douglas-Rachford or Averaged Alternating Reflection Algorithm (AAR).
Hesse, Robert, Luke, D. Russell
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Some fixed point results for enriched nonexpansive type mappings in Banach spaces
Applied General Topology, 2022 In this paper, we introduce two new classes of nonlinear mappings and present some new existence and convergence theorems for these mappings in Banach spaces.
Rahul Shukla, Rajendra Pant
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Averaged alternating reflections in geodesic spaces [PDF]
, 2013 We study the nonexpansivity of reflection mappings in geodesic spaces and apply our findings to the averaged alternating reflection algorithm employed in solving the convex feasibility problem for two sets in a nonlinear context.
Fernandez-Leon, Aurora, Nicolae, Adriana
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On Firmly Nonexpansive Mappings [PDF]
Proceedings of the American Mathematical Society, 1991 It is shown that any A-firmly, 0 < A < 1, nonexpansive mapping T: C -C has a fixed point in C whenever C is a finite union of nonempty, bounded, closed convex subsets of a uniformly convex Banach space. Let C be a nonempty subset of a Banach space X, and let A E (0, 1). Then a mapping T: C -+ X is said to be A-firmly nonexpansive if (1) 11 Tx Tyll < 11(
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Nonexpansive maps with surjective displacement [PDF]
Journal of Fixed Point Theory and Applications, 2021 We investigate necessary and sufficient conditions for a nonexpansive map $f$ on a Banach space $X$ to have surjective displacement, that is, for $f - \mathrm{id}$ to map onto $X$. In particular, we give a computable necessary and sufficient condition when $X$ is a finite dimensional space with a polyhedral norm.
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Strong Convergence of Monotone Hybrid Algorithm for Hemi-Relatively Nonexpansive Mappings
Fixed Point Theory and Applications, 2008 The purpose of this article is to prove strong convergence theorems for fixed points of closed hemi-relatively nonexpansive mappings. In order to get these convergence theorems, the monotone hybrid iteration method is presented and is used to ...
Su Yongfu, Wang Dongxing, Shang Meijuan
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Fixed Point Theory and Applications, 2010 We prove the weak and strong convergence of the implicit iterative process to a common fixed point of an asymptotically quasi-I-nonexpansive mapping T and an asymptotically quasi-nonexpansive mapping I, defined on a nonempty closed convex subset of a ...
Farrukh Mukhamedov, Mansoor Saburov
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A Mean Ergodic Theorem for Affine Nonexpansive Mappings in Nonpositive Curvature Metric Spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, we consider the orbits of an affine nonexpansive mapping in Hadamard (nonpositive curvature metric) spaces and prove an ergodic theorem for the inductive mean, which extends the von Neumann linear ergodic theorem.
Khatibzadeh Hadi, Pouladi Hadi
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Porosity Results for Sets of Strict Contractions on Geodesic Metric Spaces
, 2017 We consider a large class of geodesic metric spaces, including Banach spaces, hyperbolic spaces and geodesic $\mathrm{CAT}(\kappa)$-spaces, and investigate the space of nonexpansive mappings on either a convex or a star-shaped subset in these settings ...
Bargetz, Christian +2 more
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