Results 31 to 40 of about 4,446,313 (251)
Best Proximity Point Theorems for Cyclic Relatively ρ-Nonexpansive Mappings in Modular Spaces
Abstract and Applied Analysis, 2018 In this paper we introduce the notion of proximal ρ-normal structure of pair of ρ-admissible sets in modular spaces. We prove some results of best proximity points in this setting without recourse to Zorn’s lemma.
Karim Chaira, Samih Lazaiz
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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 ...
P. S. Srinivasan, P. Veeramani
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Common Best Proximity Points for Cyclic φ-Contraction Maps [PDF]
International Journal of Analysis and Applications, 2016 The purpose of this paper is to introduce new types of contraction condition for a pair of maps $(S,T)$ in metric spaces. We give convergence and existence results of best proximity points of such maps in the setting of uniformly convex Banach spaces ...
M. Ahmadi Baseri +2 more
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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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Common best proximity points for a pair of mappings with certain dominating property
Demonstratio Mathematica, 2023 This article introduces a type of dominating property, partially inherited from L. Chen’s, and proves an existence and uniqueness theorem concerning common best proximity points.
Charoensawan Phakdi +2 more
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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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Proximity Point Properties for Admitting Center Maps [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this work we investigate a class of admitting center maps on a metric space. We state and prove some fixed point and best proximity point theorems for them. We obtain some results and relevant examples.
Mohammad Hosein Labbaf Ghasemi +2 more
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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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Best Proximity Pair Theorems for Noncyclic Mappings in Banach and Metric Spaces [PDF]
, 2016 Let A and B be two nonempty subsets of a metric space X. A mapping T : A[B ! A[B is said to be noncyclic if T(A) A and T(B) B. For such a mapping, a pair (x; y) 2 A B such that Tx = x, Ty = y and d(x; y) = dist(A;B) is called a best proximity ...
Fernández León, Aurora, Gabeleh, M.
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Uniqueness of best proximity pairs and rigidity of semimetric spaces
Journal of Fixed Point Theory and Applications, 2022 32 pages, 10 ...
Oleksiy Dovgoshey, Ruslan Shanin
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