Results 21 to 30 of about 65,457 (238)
Bipartite graphs and best proximity pairs
Ukrainian Mathematical Bulletin, 2022 We say that a bipartite graph $G(A, B)$ with fixed parts $A$, $B$ is proximinal if there is a semimetric space $(X, d)$ such that $A$ and $B$ are disjoint proximinal subsets of $X$ and all edges $\{a, b\}$ satisfy the equality $d(a, b) = \operatorname{dist}(A, B)$. It is proved that a bipartite graph $G$ is not isomorphic to any proximinal graph iff $G$
Chaira, Karim +2 more
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Existence of Coupled Best Proximity Points of p-Cyclic Contractions
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.
Miroslav Hristov +3 more
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Best proximity point (pair) results via MNC in Busemann convex metric spaces
Applied General Topology, 2022 In this paper, we present a new class of cyclic (noncyclic) α-ψ and β-ψ condensing operators and survey the existence of best proximity points (pairs) as well as coupled best proximity points (pairs) in the setting of reflexive Busemann convex spaces ...
Moosa Gabeleh, Pradip Ramesh Patle
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On best proximity pair theorems and fixed‐point theorems [PDF]
Abstract and Applied Analysis, 2003 The significance of fixed‐point theory stems from the fact that it furnishes a unified approach and constitutes an important tool in solving equations which are not necessarily linear. On the other hand, if the fixed‐point equation Tx = x does not possess a solution, it is contemplated to resolve a problem of finding an element x such that x is in ...
Srinivasan, P. S., Veeramani, P.
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On a new variant of F-contractive mappings with application to fractional differential equations
Nonlinear Analysis, 2022 The present article intends to prove the existence of best proximity points (pairs) using the notion of measure of noncompactness. We introduce generalized classes of cyclic (noncyclic) F-contractive operators, and then derive best proximity point (pair)
Pradip Ramesh Patlea, Moosa Gabeleh
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Birkhoff-Kellogg and Best Proximity Pair Results
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
O'Regan, Donal +2 more
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G-approximate best proximity pairs in metric space with a directed graph [PDF]
Mathematica MoravicaLet (X,d) be a metric space endowed with a directed graph G where V (G) and E(G) represent the sets of vertices and edges corresponding to X, respectively.
Mohsenialhosseini Seyed Ali Mohammad +1 more
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Weak proximal normal structure and coincidence quasi-best proximity points
Applied General Topology, 2020 We introduce the notion of pointwise cyclic-noncyclic relatively nonexpansive pairs involving orbits. We study the best proximity point problem for this class of mappings.
Farhad Fouladi +2 more
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A New Survey of Measures of Noncompactness and Their Applications
Axioms, 2022 We present a survey of the theory of measures of noncompactness and discuss some fixed point theorems of Darbo’s type. We apply the technique of measures of noncompactness to the characterization of classes of compact operators between certain sequence ...
Moosa Gabeleh +3 more
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Best Proximity Point Theorems for a Berinde MT-Cyclic Contraction on a Semisharp Proximal Pair [PDF]
International Journal of Mathematics and Mathematical Sciences, 2018 In this paper, a new type of non-self-mapping, called Berinde MT-cyclic contractions, is introduced and studied. Best proximity point theorems for this type of mappings in a metric space are presented. Some examples illustrating our main results are also given. Our results generalize and improve some known results in the literature.
Chalongchai Klanarong +1 more
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