Results 31 to 40 of about 5,440 (186)
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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Approximating Fixed Points of Nonexpansive Mappings [PDF]
Proceedings of the American Mathematical Society, 1974 A condition is given for nonexpansive mappings which assures convergence of certain iterates to a fixed point of the mapping in a uniformly convex Banach space. A relationship between the given condition and the requirement of demicompactness is established.
Senter, H. F., Dotson, W. G. jun.
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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 approximate
Dongxing Wang +2 more
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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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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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ON MULTIVALUED f-NONEXPANSIVE MAPS
Demonstratio Mathematica, 1999 The authors prove coincidence, fixed point, and convergence theorems which extend previous results by G. L. Acedo and H.-K. Xu, W. G. Dotson, G. Jungck and S. Sessa, and E. Lami Dozo.
Latif, Abdul, Tweddle, Ian
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Approximating of fixed points for Garsia-Falset generalized nonexpansive mappings
Journal of New Results in Science, 2023 This paper studies the convergence of fixed points for Garsia-Falset generalized nonexpansive mappings. First, it investigates weak and strong convergence results for Garsia-Falset generalized nonexpansive mappings using the Temir-Korkut iteration in ...
Oruç Zincir, Seyit Temir
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Journal of Applied Mathematics, 2014 We introduce a new generalized resolvent in a Banach space and discuss some of its properties. Using these properties, we obtain an iterative scheme for finding a point which is a fixed point of relatively weak nonexpansive mapping and a zero of monotone
Xian Wang, Jun-min Chen, Hui Tong
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Strong Convergence Theorems for Nonexpansive Mapping [PDF]
Journal of Systems Science and Complexity, 2007 Let \(C\) be a closed convex subset of a uniformly smooth Banach space \(E\) and \(T\) a nonexpansive selfmap of \(C\) with \(F(T) \neq \emptyset\). Given a point \(u \in C\) and an initial guess \(x_0 \in C\), the author proves the strong convergence of the iteration scheme defined by \(z_n = \gamma_nx_n + (1 - \gamma_n)Tx_n\), \(y_n = \beta_nx_n + (1
Su, Yongfu, Qin, Xiaolong
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