Results 61 to 70 of about 1,172,576 (205)
Three-Step Fixed Point Iteration for Generalized Multivalued Mapping in Banach Spaces
Journal of Applied Mathematics, 2012 The convergence of three-step fixed point iterative processes for generalized multivalued nonexpansive mapping was considered in this paper. Under some different conditions, the sequences of three-step fixed point iterates strongly or weakly converge to ...
Zhanfei Zuo
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Advances in Polymer Technology, Volume 2026, Issue 1, 2026.Enhancing building energy efficiency remains a critical challenge, in which high‐performance thermal insulation plays a key role. In this context, this study focuses on the development and characterization of clay–chitosan composites incorporating varying chitosan loadings (4, 8, 12, 16, and 20 wt%).
Rachid Et-Tanteny +4 more
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Convergence of Monotone Generalized $\alpha$-nonexpansive Mappings in Ordered Hyperbolic Metric Spaces [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we discuss SPK iterative algorithm for approximating fixed point of monotone generalized $\alpha$-nonexpansive mapping in the setting of partially ordered hyperbolic spaces.
Samir Dashputre, Kavita Sakure
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Advances in Materials Science and Engineering, Volume 2026, Issue 1, 2026.Expansive subgrade soils pose persistent challenges to pavement and foundation engineering due to their pronounced shrink–swell behavior and limited load‐bearing capacity. This study investigates a hybrid stabilization strategy that combines ordinary Portland cement with sugarcane bagasse fibers and synthetic nylon fibers to simultaneously enhance ...
Shantanu Paul +5 more
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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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On directionally nonexpansive mappings
European Journal of MathematicsAbstractIn 2000, W.A. Kirk introduced the concept of directionally nonexpansive mappings. Here, we present a more comprehensive study of this class of mappings, including a fixed-point result for them. We further present a class of mappings, properly containing the directionally nonexpansive ones, for which Kirk’s theorem still holds.
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On the structure of the fixed-point set of a nonexpansive mapping in a Banach space
, 1976 If C C is a closed convex subset of a reflexive, strictly convex Banach space E E , and T : C → E T:C \to E is a nonexpansive mapping which has a fixed-point in the ...
Ronald E. Bruck
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Modified Iterative Algorithms for Nonexpansive Mappings [PDF]
International Journal of Stochastic Analysis, 2009 Let H be a real Hilbert space, let S, T be two nonexpansive mappings such that F(S)∩F(T) ≠ ∅, let f be a contractive mapping, and let A be a strongly positive linear bounded operator on H. In this paper, we suggest and consider the strong converegence analysis of a new two‐step iterative algorithms for finding the approximate solution of two ...
Yao, Yonghong +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
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مجلة بغداد للعلوم, 2020 In this paper, a fixed point theorem of nonexpansive mapping is established to study the existence and sufficient conditions for the controllability of nonlinear fractional control systems in reflexive Banach spaces.
Naseif Jasim AL-Jawari
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