Results 81 to 90 of about 3,848 (206)
Convergence Behavior of the F∗ Algorithm: Strong and Weak Results for Nonexpansive Mappings
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study examines the strong and weak convergence of the F∗ iterative approach to the fixed point of a nonexpansive mapping in the context of a Banach space. This work shows improved rate and efficiency of convergence. Furthermore, we proved that F∗ iterative algorithm converges to a fixed point faster than Picard, Mann, S, and Varat iterative ...
Anju Panwar +3 more
wiley +1 more source
Convergence theorems for a common fixed point of a finite family of nonself nonexpansive mappings
Fixed Point Theory and Applications, 2005 Let K be a nonempty closed convex subset of a reflexive real Banach space E which has a uniformly Gâteaux differentiable norm. Assume that K is a sunny nonexpansive retract of E with Q as the sunny nonexpansive retraction. Let Ti:K→E, i=1,â€
Naseer Shahzad +2 more
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Some fixed-point theorems for a pair of Reich-Suzuki-type nonexpansive mappings in hyperbolic spaces
Topological Algebra and its Applications, 2023 In this article, we prove some fixed-point results for a pair of Reich-Suzuki-type nonexpansive mappings in uniformly convex WW-hyperbolic spaces. We introduce a new iterative scheme and establish its convergence to the fixed points of a pair of Reich ...
Valappil Sreya Valiya +1 more
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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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Journal of Mathematics, Volume 2026, Issue 1, 2026.The goal of this study is dedicated to the research on the fixed point iterative algorithm for solving the common fixed point problems in Hilbert spaces. In this study, we first propose the hybrid and shrinking projection algorithms of two different nonexpansive mappings for a class of algorithms with two iterative sequences to solve the common fixed ...
Shengquan Weng +2 more
wiley +1 more source
Journal of Applied Mathematics, 2012 The authors have obtained the following results: (1) the definition of uniformly closed countable family of nonlinear mappings, (2) strong convergence theorem by the monotone hybrid algorithm for two countable families of hemirelatively nonexpansive ...
Sumei Ai, Yongfu Su
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An Inertial Three‐Term Conjugate Gradient Projection Method With Applications
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper introduces a robust inertial three‐term projection method for solving monotone nonlinear equations. The proposed approach extends existing nonlinear conjugate gradient (CG) methods for unconstrained optimization with inexact line search by incorporating an inertial mechanism and a redesigned three‐term search direction to enhance numerical ...
Muhammad Abdullahi +7 more
wiley +1 more source
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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A New Fixed‐Point Framework for Nonexpansive and Averaged Mappings in Normed GE‐Algebras
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we develop a systematic framework for studying fixed‐point theory in the setting of normed GE‐algebras. Building on the GE‐norm, we introduce and analyze nonexpansive mappings, α‐averaged mappings, and enriched contractions with respect to the quasimetric induced by the GE‐norm.
Prashant Patel +3 more
wiley +1 more source
Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces
Fixed Point Theory and Applications, 2005 In 1979, Ishikawa proved a strong convergence theorem for finite families of nonexpansive mappings in general Banach spaces. Motivated by Ishikawa's result, we prove strong convergence theorems for infinite families of nonexpansive mappings.
Tomonari Suzuki
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