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Fuzzy equilibrium via best proximity pairs in abstract economies
Soft Computing, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Premyuda Dechboon +3 more
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Filomat
This article explores the existence of an optimal solution for our proposed system of integro differential equations in Banach space by generalizing the best proximity point (pair) theorem and utilizing a new contraction operator.
Mallika Sarmah, Anupam Das, Dipak Sarma
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This article explores the existence of an optimal solution for our proposed system of integro differential equations in Banach space by generalizing the best proximity point (pair) theorem and utilizing a new contraction operator.
Mallika Sarmah, Anupam Das, Dipak Sarma
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On best proximity points in b-multiplicative metric spaces using R-functions with an application
International Journal of Science and Research ArchiveIn this paper, we introduce some rational cyclic conditions in b-multiplicative metric spaces. These conditions generalize existing rational cyclic conditions studied in standard metric frameworks. We establish several best proximity point theorems for a
J Jarvisvivin, A Mary Priya Dharsini
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European Journal of Pure and Applied Mathematics
We first prove that if $(\mathcal G, \mathcal H)$ is a nonempty, compact and hyperconvex pair of subsets of a hyperconvex metric space $(\mathcal M,d)$, then every cyclic relatively $u$-continuous mapping $T$ defined on $\mathcal G\cup\mathcal H$ has a ...
M. Gabeleh, J. Markin, Maggie Aphane
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We first prove that if $(\mathcal G, \mathcal H)$ is a nonempty, compact and hyperconvex pair of subsets of a hyperconvex metric space $(\mathcal M,d)$, then every cyclic relatively $u$-continuous mapping $T$ defined on $\mathcal G\cup\mathcal H$ has a ...
M. Gabeleh, J. Markin, Maggie Aphane
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2001
Let \(X\) and \(Y\) be any two topological spaces. A multifunction \(T:X\to 2^Y\) is said to be (i) upper semi-continuous if \(T^{-1}(B)= \{x\in X:(Tx)\cap B\neq\emptyset\}\) is closed in \(X\) whenever \(B\) is a closed subset of \(Y\); (ii) Kakutani multifunction if (a) \(T\) is upper semi-continuous, (b) either \(Tx\) is a singleton for each \(x\in ...
BASHA, SS, VEERAMANI, P, PAI, DV
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Let \(X\) and \(Y\) be any two topological spaces. A multifunction \(T:X\to 2^Y\) is said to be (i) upper semi-continuous if \(T^{-1}(B)= \{x\in X:(Tx)\cap B\neq\emptyset\}\) is closed in \(X\) whenever \(B\) is a closed subset of \(Y\); (ii) Kakutani multifunction if (a) \(T\) is upper semi-continuous, (b) either \(Tx\) is a singleton for each \(x\in ...
BASHA, SS, VEERAMANI, P, PAI, DV
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Best Proximity Theory in Metrically Convex Menger PM-Spaces via Cyclic Kannan Maps
SymmetryA Takahashi convex structure is considered on Menger PM-spaces and used to investigate the existence of best proximity points for weak cyclic Kannan contractions.
M. Gabeleh +2 more
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The best proximity pair focusing on monotonicity and \(T\)-absolutely direct sets
2021Summary: In this article, we mostly pay attention to the existence and uniqueness of the best proximity pair for \(T\)-absolutely direct sets. This investigation is based on some interesting relations existing in Banach lattices, in which \(T : A\to B\) is an arbitrary map.
Mazaheri, Hamid +2 more
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Facta Universitatis Series Mathematics and Informatics
The paper utilizes the concept of measure of noncompactness to achieve the existence result; the existence of an optimal solution to a fractional system constituted by ψ-Riemann Liouville derivative and a nonlinear function of integral type.
G. Khokhar, M. Gabeleh, D. Patel
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The paper utilizes the concept of measure of noncompactness to achieve the existence result; the existence of an optimal solution to a fractional system constituted by ψ-Riemann Liouville derivative and a nonlinear function of integral type.
G. Khokhar, M. Gabeleh, D. Patel
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Existence of Best Proximity Pairs and a Generalization of Carathéodory Theorem
Numerical Functional Analysis and Optimization, 2020A new class of mappings, called relatively continuous, is introduced and incorporated to elicit best proximity pair theorems for a non-self-mapping in the setting of reflexive Banach space.
Abhik Digar, G. Sankara Raju Kosuru
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G-approximate best proximity pairs in metric space with a directed graph
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.
S. Mohsenialhosseini, M. Saheli
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