Results 1 to 10 of about 5,989,700 (306)
Best proximity points in ℱ-metric spaces with applications
Demonstratio Mathematica, 2023 The aim of this article is to introduce α\alpha -ψ\psi -proximal contraction in the setting of ℱ-metric space and prove the existence of best proximity points for these contractions.
Lateef Durdana
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Coincidence Best Proximity Points of Proximal Berinde G-Contractions
Journal of MathematicsRecently, a concept of proximal Berinde contractions was introduced and applied to prove the existence of coincidence best proximity points in metric spaces. In this article, we established a new approach to show that these results can be obtained from a
Moosa Gabeleh, Jack Markin
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Best Proximity Points for p–Cyclic Infimum Summing Contractions
Axioms, 2023 We investigate fixed points for p cyclic maps by introducing a new notion of p–cyclic infimum summing maps and a generalized best proximity point for p–cyclic maps. The idea generalizes some results about best proximity points in order to widen the class
Miroslav Hristov +4 more
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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
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Tripled Fixed Points and Tripled Best Proximity Points in Modular Function Spaces
AppliedMathWe establish a modular-space framework for the study of tripled fixed points and tripled best proximity points. Under suitable assumptions on the underlying modular (convexity, the Δ2 property, uniform continuity, and uniform convexity-type properties ...
Aynur Ali +4 more
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Best proximity points for alternative p-contractions
Journal of Inequalities and ApplicationsCyclic mappings describe fixed paths for which each point is sequentially transmitted from one set to another. Cyclic mappings satisfying certain cyclic contraction conditions have been used to obtain the best proximity points, which constitute a ...
Mi Zhou +3 more
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Best Proximity Points for Geraghty-Type Non-Self Mappings [PDF]
International Journal of TopologyWe study Geraghty-type non-self mappings within the framework of best proximity point theory. By introducing auxiliary functions with subsequential convergence, we establish general conditions ensuring the existence and uniqueness of best proximity ...
Fatemeh Fogh, Sara Behnamian
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Existence and Convergence Theorems of Best Proximity Points [PDF]
Journal 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.
Moosa Gabeleh, Naseer Shahzad
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Generalized Proximal ψ-Contraction Mappings and Best Proximity Points [PDF]
Abstract and Applied Analysis, 2012 We generalized the notion of proximal contractions of the first and the second kinds and established the best proximity point theorems for these classes. Our results improve and extend recent result of Sadiq Basha (2011) and some authors.
Winate Sanhan +2 more
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Best Proximity Points for Some Classes of Proximal Contractions [PDF]
Abstract 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 , called g-best proximity point, which satisfies .
Maryam A. Alghamdi +2 more
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