Results 61 to 70 of about 3,848 (206)
Abstract and Applied Analysis, 2012 The main purpose of this paper is first to introduce the concept of total asymptotically nonexpansive mappings and to prove a Δ-convergence theorem for finding a common fixed point of the total asymptotically nonexpansive mappings and the asymptotically ...
J. F. Tang +3 more
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Convergence theorems for I‐nonexpansive mapping [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 We establish the weak convergence of a sequence of Mann iterates of an I‐nonexpansive map in a Banach space which satisfies Opial′s condition.
B. E. Rhoades, Seyit Temir
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On common fixed points of asymptotically nonexpansive mappings in the intermediate sense [PDF]
, 2004 summary:Some strong convergence theorems of common fixed points of asymptotically nonexpansive mappings in the intermediate sense are obtained. The results presented in this paper improve and extend the corresponding results in Huang, Khan and Takahashi,
Huang, Jui-Chi
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Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.In this article, several new fixed point results are established by employing the Krasnoselskii iteration method for a pair of self‐mappings in Banach spaces. It explores the idea of enriched contraction, conditionally sequential absorbing mappings, and various types of continuity terms. Further, to support our main result, an example is provided which
Priya Goel +4 more
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Algorithms based on unions of nonexpansive maps [PDF]
Optimization Letters, 2018 8 ...
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Fixed points of α-nonexpansive mappings [PDF]
, 2016 This paper is connected with the theory of a-nonexpansive mappings, which were introduced by K. Goebel and M. A. J. Pineda in 2007. These mappings are a natural generalisation of nonexpansive mappings from the point of view of the fixed point theory.
Wesołowski, Krzysztof
core
Fixed point results for nonexpansive mappings on metric spaces [PDF]
, 2015 In this paper we obtain some fixed point results for a class of nonexpansive single-valued mappings and a class of nonexpansive multi-valued mappings in the setting of a metric space.
VETRO, Francesca
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Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.It is our aim to propose a new iterative algorithm with an inertial term involving asymptotically nonexpansive mapping in the framework of Hilbert spaces. Let T : H⟶H be asymptotically nonexpansive mapping with F(T) ≠ ∅ ∅ and let xnn≥0 be defined by xn+1 = σnzn + bn(Tnσnzn − σnzn) + εn, ∀n ≥ 1.
Emmanuel Akaligwo +5 more
wiley +1 more source
Open Mathematics, 2023 In this article, we prove ergodic convergence for a sequence of nonexpansive mappings in Hadamard (complete CAT(0){\rm{CAT}}\left(0)) spaces. Our result extends the nonlinear ergodic theorem by Baillon for nonexpansive mappings from Hilbert spaces to ...
Termkaew Sakan +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper presents an inertial‐based hybrid conjugate gradient projection algorithm for solving nonlinear equations with convex constraints. The proposed algorithm integrates Polak–Ribière–Polyak and Hestenes–Stiefel methods within a conjugate gradient framework, incorporating an inertial‐relaxed technique to accelerate iterative convergence.
Yan Xia, Dandan Li, Nian-Sheng Tang
wiley +1 more source