Results 31 to 40 of about 8,286,670 (284)
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 , calledg-best proximity point, which satisfies . In so doing, we provide a useful answer for the resolution of the nonlinear programming problem of globally minimizing the real valued function , thereby getting an ...
Maryam A. Alghamdi +2 more
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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. We also prove a convergence theorem of best proximity point for relatively nonexpansive mappings in uniformly convex Banach spaces.
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 Alternative Maps [PDF]
Symmetry, 2019 Let ( X , d ) be a metric space and Ω i , i = 1 , 2 , … , m , be a nonempty subset of ( X , d ) . An operator T : ∪ 1 ≤ i ≤ m Ω i → ∪ 1 ≤ i ≤ m Ω i is called an alternative map if T ( Ω j ) ⊆ ∪ i ≠ j Ω i , j = 1 , 2 , … , m . In addition, if for any x, y ∈ ∪ 1 ≤ i ≤ m Ω i , there exists a constant α ∈ [ 0 , 1 ) such that d ( T x , T y ) ≤ α d ( x , y )
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A Generalization for the Best Proximity Point of Geraghty-Contractions [PDF]
, 2013 KARAPINAR, ERDAL/0000-0002-6798-3254In this paper, we introduce the notion of Geraghty-contractions and consider the related best proximity point in the context of a metric space.
Sadarangani, Kishin +3 more
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On best proximity points of interpolative proximal contractions
Quaestiones Mathematicae, 2020 In this paper, we introduce some kinds of interpolative proximal contractions named as Reich-Rus-Ćirić and Kannan types. Then taking into account the aforementioned mappings, we give a few best proximity point results. As special cases we obtain some fixed point results for interpolative contractions. To support the theory, some examples are provided.
Ishak Altun, Ayşenur Taşdemir
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SOME COMMENTS ON BEST PROXIMITY POINTS FOR ORDERED PROXIMAL CONTRACTIONS
Journal of Applied Analysis & Computation, 2022 Summary: In this article, we focus on the existence of an optimal approximate solution, designated as a best proximity point for non-self mappings which are ordered proximal contractions in the setting of partially ordered metric spaces and prove that these results are particular cases of existing fixed point theorems in the literature.
Gabeleh, Moosa +2 more
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Best proximity point results in set-valued analysis
Nonlinear Analysis, 2016 Here we introduce certain multivalued maps and use them to obtain minimum distance between two closed sets. It is a proximity point problem which is treated here as a problem of finding global optimal solutions of certain fixed point inclusions. It is an
Binayak S. Choudhury +2 more
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Optimal Solution for the System of Differential Inclusion in Hilbert Space [PDF]
Mathematics Interdisciplinary Research, 2021 In this paper, we study the existence of the following optimal solution for the system of differential inclusiony′ ∈ Φ(t,y(t)) a.e. t ∈ I = [t0,b] and y(t0) = u2,y′ ∈ Ψ(t,y(t)) a.e.
Zeinab Soltani, Marzie Darabi
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Best Proximity Point for
Axioms, 2023 In this writing, first, we disclose the first and second category of a ΓτF-fuzzy proximal contraction for a mapping O:U→V which is nonself and also declare a fuzzy q-property to confirm the existence of the best proximity point for nonself function O ...
Uma Devi Patel +3 more
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