Results 61 to 70 of about 287 (164)
Minimization of equilibrium problems, variational inequality problems and fixed point problems
Equilibrium problem, Minimization problem, Variational inequality, Monotone mapping, Fixed point, 49J40, 47J20, 47H09, 65J15,
Shin Kang +2 more
core +1 more source
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
Open Mathematics, 2016 In this paper we introduce a property and use this property to prove some common fixed point theorems in b-metric space. We also give some fixed point results on b-metric spaces endowed with an arbitrary binary relation which can be regarded as ...
Yamaod Oratai +2 more
doaj +1 more source
Strictly pseudocontractive mapping, Nonexpansive mapping, Inverse-strongly monotone mapping, Equilibrium problem, Variational inequality, 47H05, 47H09, 47J25,
Xiaolong Qin, Shin Kang, Sun Cho
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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
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
Relatively quasi nonexpansive mappings, Equilibrium problems, Hybrid method, Banach spaces, 47H06, 47H09, 47J05, 47J25,
Yekini Shehu
core +1 more source
Shrinking projection algorithms for equilibrium problems with a bifunction defined on the dual space of a Banach space [PDF]
, 2011 Shrinking projection algorithms for finding a solution of an equilibrium problem with a bifunction defined on the dual space of a Banach space, in this paper, are introduced and studied.
Jia-wei Chen, Zhongping Wan, Yeol Je 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
Demonstratio MathematicaLet (E, F) be a nonempty pair subsets of a metric space (M, d) and let T:E∪F→E∪F $\mathcal{T} : E\cup F\to E\cup F$ be a noncyclic mapping, means that, T(E)⊆E,T(F)⊆F $\mathcal{T}\left(E\right)\subseteq E,\mathcal{T}\left(F\right)\subseteq F$ .
Gabeleh Moosa +2 more
doaj +1 more source