Results 1 to 10 of about 173,701 (159)
Best Proximity Point Results for MK-Proximal Contractions [PDF]
Abstract and Applied Analysis, 2012 Let A and B be nonempty subsets of a metric space with the distance function d, and T:A→B is a given non-self-mapping. The purpose of this paper is to solve the nonlinear programming problem that consists in minimizing the real-valued function x↦d(x,Tx),
Mohamed Jleli +2 more
doaj +3 more sources
Tripled best proximity point in complete metric spaces
Open Mathematics, 2020 In this paper, we introduce a new type of contraction to seek the existence of tripled best proximity point results. Here, using the new contraction and P-property, we generalize and extend results of W. Shatanawi and A. Pitea and prove the existence and
Rohen Yumnam, Mlaiki Nabil
doaj +3 more sources
Journal of Approximation Theory, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S Sadiq Basha
exaly +2 more sources
Condensing Mappings and Best Proximity Point Results
Journal of Mathematics, 2021 Best proximity pair results are proved for noncyclic relatively u-continuous condensing mappings. In addition, best proximity points of upper semicontinuous mappings are obtained which are also fixed points of noncyclic relatively u-continuous condensing
Sarah O. Alshehri +2 more
doaj +2 more sources
Best Proximity Point for α-ψ-Proximal Contractive Multimaps
Abstract and Applied Analysis, 2014 We extend the notions of α-ψ-proximal contraction and α-proximal admissibility to multivalued maps and then using these notions we obtain some best proximity point theorems for multivalued mappings.
Muhammad Usman Ali +2 more
doaj +2 more sources
Best Proximity Point Results for Modified --Proximal Rational Contractions [PDF]
Abstract and Applied Analysis, 2013 We first introduce certain new concepts of --proximal admissible and ---rational proximal contractions of the first and second kinds. Then we establish certain best proximity point theorems for such rational proximal contractions in metric spaces.
N. Hussain, M. A. Kutbi, P. Salimi
doaj +2 more sources
On Best Proximity Point Theorems without Ordering
Abstract and Applied Analysis, 2014 Recently, Basha (2013) addressed a problem that amalgamates approximation and optimization in the setting of a partially ordered set that is endowed with a metric.
A. P. Farajzadeh +2 more
doaj +4 more sources
Best Proximity Point Results in Non-Archimedean Modular Metric Space
Mathematics, 2017 In this paper, we introduce the new notion of Suzuki-type ( α , β , θ , γ ) -contractive mapping and investigate the existence and uniqueness of the best proximity point for such mappings in non-Archimedean modular metric space using the weak ...
Mohadeshe Paknazar, Manuel De la Sen
doaj +3 more sources
New generalization of the best proximity point problem [PDF]
Journal of Mahani Mathematical Research, 2023 Let $(C,D)$ be a nonempty pair of disjoint subsets of a metric space. Main purpose of this paper is to present a range of a convergence sequence to $u\in C\cup D$ such that $d(Tu,fu)=dist(C,D)$, for mappings $T,f:C\cup D\to C\cup D$.
M.R. Haddadi
doaj +1 more source
Proximally Compatible Mappings and Common Best Proximity Points [PDF]
Symmetry, 2020 The purpose of this paper is to introduce and analyze a new idea of proximally compatible mappings and we extend some results of Jungck via proximally compatible mappings. Furthermore, we obtain common best proximity point theorems for proximally compatible mappings through two different ways of construction of sequences.
V. Pragadeeswarar +3 more
openaire +2 more sources