Results 31 to 40 of about 8,011,019 (282)

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, Chirasak Mongkolkeha, Poom Kumam   +2 more
openaire   +3 more sources

Existence of Best Proximity Point in O-CompleteMetric Spaces

Mathematics, 2023
In this work, we prove the existence of the best proximity point results for ⊥-contraction (orthogonal-contraction) mappings on an O-complete metric space (orthogonal-complete metric space). Subsequently, these existence results are employed to establish
G. Poonguzali, V. Pragadeeswarar, Manuel De la Sen   +2 more
doaj   +1 more source

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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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
openaire   +2 more sources

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, Markin, Jack, De La Sen, Manuel   +2 more
openaire   +2 more sources

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, Pranati Maity, Nikhilesh Metiya   +2 more
doaj   +1 more source

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
doaj   +1 more source

Best Proximity Point for ${\Gamma }_{\tau }\mathcal{F}$-Fuzzy Proximal Contraction

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, Vesna Todorcevic, Slobodan Radojevic, Stojan Radenović   +3 more
doaj   +1 more source

Coincidence Point, Best Approximation, and Best Proximity Theorems for Condensing Set-Valued Maps in Hyperconvex Metric Spaces [PDF]

, 2008
In hyperconvex metric spaces, we first present a coincidence point theorem for condensing set-valued self-maps. Then we consider the best approximation problem and the best proximity problem for set-valued mappings that are condensing. As an application,
A. P. Farajzadeh, A Amini-Harandi, D. O'Regan, D. O'Regan, R. P. Agarwal, D O'Regan, A. Amini-Harandi, RP Agarwal, AP Farajzadeh, Amini-Harandi, A, O'Regan, D, Agarwal, RP, Farajzadeh, AP   +12 more
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Feng-Liu type approach to best proximity point results for multivalued mappings

, 2020
Altun, Ishak/0000-0002-7967-0554; SAHIN, HAKAN/0000-0002-4671-7950; ASLANTAS, Mustafa/0000-0003-4338-3518Let (X, d) be a metric space, A and B be two nonempty subsets of X, and T : A. B be a mapping.
Sahin, Hakan, Aslantas, Mustafa, Altun, Ishak   +2 more
core   +1 more source