Results 61 to 70 of about 276 (165)
Generalized Enriched Contractions of Boyd–Wong and Geraghty Type in Banach Spaces
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper examines generalized enriched contractions of the Boyd–Wong and Geraghty types within Banach spaces, expanding the classical concept of enriched operators. We establish the existence and uniqueness of fixed points for these contractions and analyze the convergence of Mann‐type iterative schemes specifically designed for these mappings.
Rekha Panicker +2 more
wiley +1 more source
Hybrid extragradient-like approximation method, Variational inequality, Fixed point, Monotone mapping, Nonexpansive mapping, Demiclosedness principle, 47J20, 47H09,
Nicolas Hadjisavvas +2 more
core +1 more source
Synchronal algorithm and cyclic algorithm for fixed point problems and variational inequality problems in hilbert spaces [PDF]
, 2011 We design synchronal algorithm and cyclic algorithm based on the general iterative algorithm proposed by Tian in 2010 for finding the common fixed point x* of finite family of strict pseudo-contractive mappings which is the solution of the variational ...
Ming Tian +3 more
core +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we present the concept of rational θ‐Reich and θ‐Sehgal contraction mappings in usual metric spaces by integrating the classical Reich and Sehgal contractions with Singh’s iterative framework. We establish unified fixed‐point theorems that guarantee existence and uniqueness under both constant and functional parameters.
Hasanen A. Hammad +2 more
wiley +1 more source
Approximating zeros of monotone operators by proximal point algorithms
Nonexpansive mapping, Fixed point, Monotone operator, Zero, Proximal point algorithm, 47H05, 47H09, 47J25,
Xiaolong Qin, Shin Kang, Yeol Cho
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Geraghty–𝔽‐Contraction Type Darbo Fixed‐Point Theorems With an Application
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this study, Darbo’s fixed‐point theorem is extended by employing Geraghty–𝔽‐contractions on Banach spaces. The obtained results are then applied to establish the existence of solutions for a fractional integral equation in the space C([0, ς]), equipped with the Hausdorff measure of noncompactness. To support and validate the main theorems presented,
Samira Hadi Bonab +5 more
wiley +1 more source
A Projection Method for Relatively Nonexpansive Mappings in Banach Spaces [PDF]
, 2013 We introduce a new projection algorithm for solving the fixed point problem of relatively nonexpansive mappings in the framework of Banach spaces. We also prove the strong convergence theorem for such mappings.
Prasit Cholamjiak
core
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.This paper explores the solvability of multiterm hybrid functional equations with multiple delays, addressing these equations under some nonlocal hybrid boundary conditions. By applying Schauder fixed‐point theorem, we establish the existence of continuous solutions and provide sufficient requirements for the continuous dependence of the unique ...
A. M. A. El-Sayed +4 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this article, we introduce a new class of cyclic and noncyclic condensing operators that extend the notion of condensing mappings previously proposed by Gabeleh and Markin (M. Gabeleh and J. Markin, Optimum solutions for a system of differential equations via measure of noncompactness, Indagationes Mathematicae, 29(3) [2018], 895–906).
A. Pradhan +4 more
wiley +1 more source
Nonexpansive mapping, Equilibrium problem, Fixed point, General system of variational inequality, 49J30, 49J40, 47H09, 47H10,
T. Thammathiwat, S. Plubtieng
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