Common Best Proximity Points and Completeness of ℱ−Metric Spaces [PDF]
Mathematics, 2023 In this paper, we introduce three classes of proximal contractions that are called the proximally λ−ψ−dominated contractions, generalized ηβγ−proximal contractions and Berinde-type weak proximal contractions, and obtain common best proximity points for ...
Mi Zhou +4 more
doaj +7 more sources
Common Best Proximity Coincidence Point Theorem for Dominating Proximal Generalized Geraghty in Complete Metric Spaces [PDF]
Journal of Function Spaces, 2020 In this paper, we introduce a new concept of dominating proximal generalized Geraghty for two mappings and prove the existence and uniqueness of a common best proximity coincidence point in complete metric spaces.
Anchalee Khemphet +2 more
doaj +5 more sources
On p-Common Best Proximity Point Results for S-Weakly Contraction in Complete Metric Spaces
Mathematics, 2018 In this work, we introduced new notions of a new contraction named S -weakly contraction; after that, we obtained the p-common best proximity point results for different types of contractions in the setting of complete metric spaces by using weak
Chayut Kongban +3 more
doaj +3 more sources
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
openaire +5 more sources
Common Best Proximity Point Results for T-GKT Cyclic ϕ-Contraction Mappings in Partial Metric Spaces with Some Applications [PDF]
Symmetry, 2021 The aim of this paper is to derive some common best proximity point results in partial metric spaces defining a new class of symmetric mappings, which is a generalization of cyclic φ-contraction mappings.
Nilakshi Goswami +3 more
semanticscholar +2 more sources
Common best proximity point theorems for proximally weak reciprocal continuous mappings
AIMS Mathematics, 2023 The main objective of this paper is to find sufficient conditions for the existence and uniqueness of common best proximity points for discontinuous non-self mappings in the setting of a complete metric space.
A. S. Unni +2 more
semanticscholar +3 more sources
Common best proximity point theorems under proximal F-weak dominance in complete metric spaces [PDF]
The Journal of Analysis, 2022 Suppose that A and B are nonempty subsets of a complete metric space $$(\mathcal {M},d)$$ ( M , d ) and $$\phi ,\psi :A\rightarrow B$$ ϕ , ψ : A → B are mappings.
A. Deep, R. Batra
semanticscholar +4 more sources
Generalized Common Best Proximity Point Results in Fuzzy Metric Spaces with Application
Symmetry, 2023 The symmetry of fuzzy metric spaces has benefits for flexibility, ambiguity tolerance, resilience, compatibility, and applicability. They provide a more comprehensive description of similarity and offer a solid framework for working with ambiguous and ...
Umar Ishtiaq +3 more
semanticscholar +3 more sources
Best proximity point theorems for cyclic p-contractions with some consequences and applications
Nonlinear Analysis, 2021 In this paper, we introduce the concept of cyclic p-contraction pair for single-valued mappings. Then we present some best proximity point results for such mappings defined on proximally complete pair of subsets of a metric space.
Mustafa Aslantas +2 more
doaj +2 more sources
On common best proximity points for generalized α−ψ -proximal contractions
Journal of Nonlinear Sciences and Applications, 2016 KARAPINAR, ERDAL/0000-0002-6798-3254; Aydi, Hassen/0000-0003-4606-7211; Felhi, Abdelbasset/0000-0002-2552-5431; , Hassen/0000-0003-3896-3809We establish some common best proximity point results for generalized alpha - psi-proximal contractive non -self ...
Hassen Aydi +2 more
openaire +3 more sources