On Proximal contractions via implicit relations and Best proximity points [PDF]
Miskolc Mathematical Notes, 2021 In this paper, we employ two types of implicit relations to define some new kind of proximal contractions and study about their best proximity points. More precisely, we use two class of functions $\mathcal{A}$ and $\mathcal{A}'$ to explore proximal $\mathcal{A}$, $\mathcal{A}'$-contractions of first and second type and strong proximal $\mathcal{A}$, $\
Mondal, Pratikshan +2 more
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Best Proximity Point for Generalized and S-Geraphty Contractions
Abstract and Applied Analysis, 2021 This paper introduces a new class of mappings called S-Geraphty-contractions and provides sufficient conditions for the existence and uniqueness of a best proximity point for such mappings. It also presents the best proximity point result for generalized
Abdelhafid Bassou +2 more
doaj +1 more source
On best proximity points for set-valued contractions of Nadler type with respect to b-generalized pseudodistances in b-metric spaces [PDF]
, 2014 In this paper, in b-metric space, we introduce the concept of b-generalized pseudodistance which is an extension of the b-metric. Next, inspired by the ideas of Nadler (Pac. J. Math. 30:475-488, 1969) and Abkar and Gabeleh (Rev. R. Acad.
Plebaniak, Robert
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Proximally Compatible Mappings and Common Best Proximity Points [PDF]
Symmetry, 2020 The purpose of this paper is to introduce and analyze a new idea of proximally compatible mappings and we extend some results of Jungck via proximally compatible mappings. Furthermore, we obtain common best proximity point theorems for proximally compatible mappings through two different ways of construction of sequences.
V. Pragadeeswarar +3 more
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Existence of Best Proximity Point in O-CompleteMetric Spaces
Mathematics, 2023 In this work, we prove the existence of the best proximity point results for ⊥-contraction (orthogonal-contraction) mappings on an O-complete metric space (orthogonal-complete metric space). Subsequently, these existence results are employed to establish
G. Poonguzali +2 more
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A Simulation function approach for best proximity point and variational inequality problems [PDF]
, 2017 We study sufficient conditions for existence of solutions to the global optimization problem min(x is an element of A) d(x, fx), where A, B are nonempty subsets of a metric space (X, d) and f : A -> B belongs to the class of proximal simulative ...
Abbas, Mujahid +2 more
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Multivalued SK-contractions with respect to b-generalized pseudodistances [PDF]
, 2015 A new class of multivalued non-self-mappings, called SK-contractions with respect to b-generalized pseudodistances, is introduced and used to investigate the existence of best proximity points by using an appropriate geometric property. Some new fixed
A Abkar +37 more
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Optimal Solution for the System of Differential Inclusion in Hilbert Space [PDF]
Mathematics Interdisciplinary Research, 2021 In this paper, we study the existence of the following optimal solution for the system of differential inclusiony′ ∈ Φ(t,y(t)) a.e. t ∈ I = [t0,b] and y(t0) = u2,y′ ∈ Ψ(t,y(t)) a.e.
Zeinab Soltani, Marzie Darabi
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Best proximity point theorems for α-ψ-proximal contractions in intuitionistic fuzzy metric spaces [PDF]
, 2014 The aim of this paper is to introduce and study certain new concepts of α-ψ-proximal contractions in an intuitionistic fuzzy metric space. Then we establish certain best proximity point theorems for such proximal contractions in intuitionistic fuzzy ...
Abdul Latif +3 more
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A remark on Jleli–Samet’s best proximity point theorems for α-ψ-contraction mappings
Fixed Point Theory and Algorithms for Sciences and Engineering, 2023 Inspired by the work of Jachymski, we slightly extend some fixed point theorems with a graph and show that some best proximity point theorems for α-ψ-contraction mappings of Jleli and Samet can be deduced by our results.
Pinya Ardsalee
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