Results 41 to 50 of about 187 (124)

Rational θ‐Reich and θ‐Sehgal Contractions and Relevant Fixed Points With Applications to Fractional Systems, Market Equilibrium, and Economic Growth Models

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, Ghadah Albeladi, Smritijit Sen   +2 more
wiley   +1 more source

Composite iterative schemes for maximal monotone operators in reflexive Banach spaces

Fixed Point Theory and Applications, 2011
In this article, we introduce composite iterative schemes for finding a zero point of a finite family of maximal monotone operators in a reflexive Banach space. Then, we prove strong convergence theorems by using a shrinking projection method.
Cho Yeol, Suantai Suthep, Cholamjiak Prasit   +2 more
doaj  

A look at nonexpansive mappings in non-Archimedean vector spaces

Moroccan Journal of Pure and Applied Analysis, 2021
In a spherically complete ultrametric space every nonexpansive self-mapping T has a fixed point ̄x or a minimal invariant ball B(̄x, d(̄x, T(̄x)). We show how we can approximate this fixed center ̄x in a non-Archimedean vector space.
Lazaiz Samih
doaj   +1 more source

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, Hasan Hosseinzadeh, Reza Alayi, Zoran Mitrovic, Shahla Hosseini, Mohammad W. Alomari   +5 more
wiley   +1 more source

An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings

Fixed Point Theory and Applications, 2011
In this paper, an implicit iterative algorithm with errors is considered for two families of generalized asymptotically nonexpansive mappings. Strong and weak convergence theorems of common fixed points are established based on the implicit iterative ...
Qin Xiaolong, Kang Shin, Agarwal Ravi
doaj  

Some new fixed point theorems of α-partially nonexpansive mappings

Demonstratio Mathematica
In this paper, we introduce a new class of nonlinear mappings and compare it to other classes of nonlinear mappings that have appeared in the literature.
Shukla Rahul
doaj   +1 more source

Innovative Aspects of the Solvability of Multiterm Hybrid Functional Equations via Nonlocal Hybrid Conditions

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, Sh. M. Al-Issa, H. H. G. Hashem, A. H. Osman, Amar Nath Chatterjee   +4 more
wiley   +1 more source

Convergence results on Picard-Krasnoselskii hybrid iterative process in CAT(0) spaces

Open Mathematics, 2021
We get the strong and Δ\Delta -convergence of the Picard-Krasnoselskii hybrid iteration scheme to a fixed point of a self-map endowed with the condition (Bγ,μ)\left({B}_{\gamma ,\mu }). We use the nonlinear context of CAT(0) spaces for establishing these
Ahmad Junaid, Ullah Kifayat, Arshad Muhammad, de la Sen Manuel, Ma Zhenhua   +4 more
doaj   +1 more source

Condensing Operators in Busemann Convex Metric Spaces With Applications to Hammerstein Integral Equations

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, M. Gabeleh, D. K. Patel, S. P. Moshokoa, Shikha Binwal   +4 more
wiley   +1 more source

Existence of a common solution for a system of nonlinear integral equations via fixed point methods in b-metric spaces

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, Sintunavarat Wutiphol, Je Cho Yeol   +2 more
doaj   +1 more source