Results 21 to 30 of about 8,011,019 (282)

Non-Archimedean fuzzy metric spaces and Best proximity point theorems [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2018
In this paper, we introduce some new classes of proximal contraction mappings and establish  best proximity point theorems for such kinds of mappings in a non-Archimedean fuzzy metric space.
Mohadeseh Paknazar
doaj   +1 more source

New generalization of the best proximity point problem [PDF]

open access: yesJournal of Mahani Mathematical Research, 2023
‎Let $(C,D)$ be a nonempty pair of disjoint subsets of a metric space. ‎Main purpose of this paper is to present a range of a convergence sequence to $u\in C\cup D$ such that $d(Tu,fu)=dist(C,D)$‎, for mappings $T,f:C\cup D\to C\cup D$.
M.R. Haddadi
doaj   +1 more source

Best Proximity Point for G-Generalized ζ-β-T Contraction

open access: yesInternational Journal of Analysis and Applications, 2023
In this paper, we find the best proximity point in G-metric spaces for G-generalized ζ-β-T contraction mappings and verify the existence and uniqueness of the best proximity point in the complete G metric space using the idea of an approximatively ...
Amit Duhan   +3 more
doaj   +1 more source

Coupled Optimal Results with an Application to Nonlinear Integral Equations

open access: yesAxioms, 2021
In the present work, we consider the best proximal problem related to a coupled mapping, which we define using control functions and weak inequalities. As a consequence, we obtain some results on coupled fixed points.
Pulak Konar   +3 more
doaj   +1 more source

Best proximity points for Geraghty’s proximal contraction mappings [PDF]

open access: yesFixed Point Theory and Applications, 2013
Abstract In this paper, we generalized the notion of proximal contractions of the first and second kinds by using Geraghty’s theorem and establish best proximity point theorems for proximal contractions. Our results improve and extend the recent results of Sadiq Basha and some others. MSC:47H09, 47H10.
Chirasak Mongkolkeha   +2 more
openaire   +1 more source

Common Best Proximity Point Theorems in Neutrosophic Complete Metric Spaces [PDF]

open access: yesNeutrosophic Sets and Systems
In this work, we provide the existence of common best proximity point for a given pair of non-self mappings in non-Archimedean neutrosophic complete metric spaces.
V. Pragadeeswarar, A. Sreelakshmi Unni
doaj   +1 more source

Best Proximity Points for Some Classes of Proximal Contractions [PDF]

open access: yesAbstract and Applied Analysis, 2013
Given a self-mapping and a non-self-mapping , the aim of this work is to provide sufficient conditions for the existence of a unique point , calledg-best proximity point, which satisfies . In so doing, we provide a useful answer for the resolution of the nonlinear programming problem of globally minimizing the real valued function , thereby getting an ...
Maryam A. Alghamdi   +2 more
openaire   +4 more sources

Best Proximity Point Results in Fuzzy Normed Spaces

open access: yesScience and Technology Indonesia, 2023
Fixed point (briefly FP ) theory is a potent tool for resolving several actual problems since many problems may be simplified to the FP problem. The idea of Banach contraction mapping is a foundational theorem in FP theory.
Raghad Ibrahaim Sabri   +1 more
doaj   +1 more source

Coincidence best proximity point theorems for proximal Berinde g-cyclic contractions in metric spaces

open access: yesJournal of Inequalities and Applications, 2021
In this paper, we introduce the notions of proximal Berinde g-cyclic contractions of two non-self-mappings and proximal Berinde g-contractions, called proximal Berinde g-cyclic contraction of the first and second kind.
Chalongchai Klanarong, Inthira Chaiya
doaj   +1 more source

Existence and Convergence Theorems of Best Proximity Points [PDF]

open access: yesJournal of Applied Mathematics, 2013
The aim of this paper is to prove some best proximity point theorems for new classes of cyclic mappings, called pointwise cyclic orbital contractions and asymptotic pointwise cyclic orbital contractions. We also prove a convergence theorem of best proximity point for relatively nonexpansive mappings in uniformly convex Banach spaces.
Moosa Gabeleh, Naseer Shahzad
openaire   +3 more sources

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