Results 71 to 80 of about 9,111 (245)

Best Proximity Points of Relatively Jaggi Nonexpansive Mappings in Busemann Convex Spaces

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
In this paper, we introduce cyclic (noncyclic) relatively Jaggi nonexpansive mappings on Busemann convex spaces and investigate the existence of their best proximity points (pairs). Furthermore, we extend the notation of relatively u‐continuous mappings in geodesic spaces and generalize an existence result of best proximity points from strictly convex ...
M. Gabeleh   +3 more
wiley   +1 more source

An Introduction to C∗‐Algebra‐Valued Metric‐Like Space With Related Applications

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
It is well‐known that the main objective of metric‐like spaces is to pave way for the development of fixed point results in nonstandard framework, such as in nonsymmetric distance structures, where self‐distances might be nonzero. This objective becomes more achievable when the range set of the distance function is a C∗‐algebra. Unfortunately, the idea
Zulaihatu Tijjani Ahmad   +5 more
wiley   +1 more source

Existence And Controllability Results For Fractional Control Systems In Reflexive Banach Spaces Using Fixed Point Theorem

open access: yesمجلة 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
doaj   +1 more source

On Weak Compatible Mappings, 3‐D Column Graphs Approach in Multiplicative Generalized Metric Spaces With an Application

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
The purpose of this work is to investigate the approach to 3‐D column graphs in multiplicative generalized metric spaces (MGM‐spaces) utilizing single‐valued mappings with an application. In MGM‐space, we use weakly compatible four self‐mappings to prove common fixed point (CFP) results without requiring their continuity.
Saif Ur Rehman   +6 more
wiley   +1 more source

Existence of Solutions for a Nonlinear Dirichlet Problem Involving Gradient Dependent Lipschitz Convection Function

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, our goal is to prove the existence of a weak solution (in H01Ω) for a fully nonlinear Dirichlet problem with a nonmonotone (e.g., Lipschitz) convection function F that depends on ∇u, and a nonlinearity G that is not necessarily monotone and depends on the solution function u, and the higher order term is −ΔΓ(x, u) − diva(x, u, ∇u ...
Teffera M. Asfaw   +3 more
wiley   +1 more source

On Multivalued Nonexpansive Mappings in ℝ‐Trees [PDF]

open access: yesJournal of Applied Mathematics, 2012
The relationships between nonexpansive, weakly nonexpansive, *‐nonexpansive, proximally nonexpansive, proximally continuous, almost lower semicontinuous, and ɛ‐semicontinuous mappings in ℝ‐trees are studied. Convergence theorems for the Ishikawa iteration processes are also discussed.
Samanmit, K., Panyanak, B.
openaire   +4 more sources

Convergences of Weighted Averaged Operators in p‐Uniformly Convex Metric Spaces

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
This paper presents improvements to theorems concerning the △‐convergence of iterative sequences in p‐uniformly convex metric spaces. The analysis focuses on sequences generated by weighted average operators applied to pairs of simultaneous quasi‐nonexpansive mappings.
Anawat Rodchan   +2 more
wiley   +1 more source

Strong Convergence Theorems for a Countable Family of Nonexpansive Mappings in Convex Metric Spaces

open access: yesAbstract and Applied Analysis, 2011
We introduce a new modified Halpern iteration for a countable infinite family of nonexpansive mappings {Tn} in convex metric spaces. We prove that the sequence {xn} generated by the proposed iteration is an approximating fixed point sequence of a ...
Withun Phuengrattana, Suthep Suantai
doaj   +1 more source

Neural‐network‐based regularization methods for inverse problems in imaging

open access: yesGAMM-Mitteilungen, Volume 47, Issue 4, November 2024.
Abstract This review provides an introduction to—and overview of—the current state of the art in neural‐network based regularization methods for inverse problems in imaging. It aims to introduce readers with a solid knowledge in applied mathematics and a basic understanding of neural networks to different concepts of applying neural networks for ...
Andreas Habring, Martin Holler
wiley   +1 more source

INEXACT ORBITS OF NONEXPANSIVE MAPPINGS

open access: yesTaiwanese Journal of Mathematics, 2008
We study the influence of errors on the convergence of orbits of nonexpansive mappings in Banach and metric spaces.
Pustylnik, Evgeniy   +2 more
openaire   +2 more sources

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