Results 1 to 10 of about 53,002 (201)
Coupled fixed points and coupled best proximity points for cyclic Ćirić type operators [PDF]
Arab Journal of Mathematical Sciences, 2020 The purpose of this paper is to study the coupled fixed point problem and the coupled best proximity problem for single-valued and multi-valued contraction type operators defined on cyclic representations of the space.
Adrian Magdaş
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On Coupled Best Proximity Points in Reflexive Banach Spaces
Mathematics, 2022 We investigated the existence and uniqueness of coupled best proximity points for some cyclic and semi-cyclic maps in a reflexive Banach space. We found sufficient conditions, ensuring the existence of coupled best proximity points in reflexive Banach ...
Laura Ajeti +2 more
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Existence of Coupled Best Proximity Points of p-Cyclic Contractions [PDF]
Axioms, 2021 We generalize the notion of coupled fixed (or best proximity) points for cyclic ordered pairs of maps to p-cyclic ordered pairs of maps. We find sufficient conditions for the existence and uniqueness of the coupled fixed (or best proximity) points. We illustrate the results with an example that covers a wide class of maps.
Diana Nedelcheva +2 more
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On Coupled Best Proximity Points and Ulam–Hyers Stability [PDF]
Journal of Fixed Point Theory and Applications, 2020 For two nonempty, closed, bounded and convex subsets $A$ and $B$ of a uniformly convex Banach space $X$ consider a mapping $T:(A \times B) \cup (B \times A) \rightarrow A \cup B$ satisfying $T(A,B) \subset B$ and $T(B, A) \subset A$. In this paper the existence of a coupled best proximity point is established when $T$ is considered to be a p-cyclic ...
Gupta, Anuradha, Rohilla, Manu
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The Existence and Uniqueness of Coupled Best Proximity Point for Proximally Coupled Contraction in a Complete Ordered Metric Space [PDF]
Abstract and Applied Analysis, 2014 We prove the existence and uniqueness of coupled best proximity point for mappings satisfying the proximally coupled contraction in a complete ordered metric space. Further, our result provides an extension of a result due to Bhaskar and Lakshmikantham.
V. Pragadeeswarar +3 more
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Coupled Best Proximity Point Theorem in Metric Spaces
International Journal of Analysis and Applications, 2013 The purpose of this article is to generalized the result of W. Sintunavarat and P. Kumam [29]. We also give an example in support of our theorem for which result of W. Sintunavarat and P. Kumam [29] is not true.
Animesh Gupta, S.S. Rajput, P.S. Kaurav
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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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Coupled Best Proximity Point Theorem in Metric Spaces [PDF]
Fixed Point Theory and Applications, 2012 In this article the concept of coupled best proximity point and cyclic contraction pair are introduced and then we study the existence and convergence of these points in metric spaces. We also establish new results on the existence and convergence in a uniformly convex Banach spaces.
Wutiphol Sintunavarat, Poom Kumam
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Coupled Best Proximity Points in Ordered Metric Spaces [PDF]
Fixed Point Theory and Applications, 2014 Abstract In this paper, we prove the existence and uniqueness of a coupled best proximity point for mappings satisfying the proximally coupled contraction condition in a complete ordered metric space. Further, our result provides an extension of a result due to Luong and Thuan (Comput. Math. Appl. 62(11):4238-4248, 2011; Nonlinear Anal.
V Pragadeeswarar +2 more
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Tripled best proximity point in complete metric spaces
Open Mathematics, 2020 In this paper, we introduce a new type of contraction to seek the existence of tripled best proximity point results. Here, using the new contraction and P-property, we generalize and extend results of W. Shatanawi and A. Pitea and prove the existence and
Rohen Yumnam, Mlaiki Nabil
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