Results 31 to 40 of about 1,095,660 (289)

Best Proximity Point Results in G-Metric Spaces

open access: yesAbstract and Applied Analysis, 2014
G-metric spaces proved to be a rich source for fixed point theory; however, the best proximity point problem has not been considered in such spaces. The aim of this paper is to introduce certain new classes of proximal contraction mappings and establish ...
N. Hussain, A. Latif, P. Salimi
doaj   +1 more source

Best proximity point results in set-valued analysis

open access: yesNonlinear 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
doaj   +1 more source

Some Common Best Proximity Point Results in Neutrosophic Complete Metric Spaces

open access: yesMathematics
In this research article, we prove the existence and uniqueness of common best proximity points for a given class of discontinuous mappings. For that, we have introduced the notions of neutrosophic proximally compatible mappings, neutrosophic proximally ...
Qiming Zhao   +3 more
doaj   +1 more source

Best Proximity Point for ΓτF-Fuzzy Proximal Contraction

open access: yesAxioms, 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
doaj   +1 more source

Quench dynamics across quantum critical points [PDF]

open access: yes, 2003
We study the quantum dynamics of a number of model systems as their coupling constants are changed rapidly across a quantum critical point. The primary motivation is provided by the recent experiments of Greiner et al. (Nature 415, 39 (2002)) who studied
K. Sengupta   +5 more
core   +2 more sources

Prešić Type Nonself Operators and Related Best Proximity Results

open access: yesMathematics, 2019
The purpose of this article is to discuss the existence of best proximity points for Pre s ˇ i c ´ -type nonself operators, say T : A k → B . We also give several examples to support our results.
Muhammad Usman Ali   +3 more
doaj   +1 more source

Best proximity point results with their consequences and applications

open access: yesJournal of Inequalities and Applications, 2022
In the commenced work, we establish some best proximity point results for multivalued generalized contractions on partially ordered complete metric spaces along with the tactic of altering distance function.
Satyendra Kumar Jain   +3 more
doaj   +1 more source

Best proximity point theorems

open access: yesJournal of Approximation Theory, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Best proximity point theorems for generalized proximal contractions [PDF]

open access: yesFixed Point Theory and Applications, 2012
This paper deals with best proximity points of mappings \(T\) with no fixed points, that is, mappings for which the equation \(Tx=x\) does not need to have a solution and then the interest is to find such points \(x\) minimizing \(d(x,Tx)\). The typical situation in this paper is a mapping \(T: A\to B\) where \(A\) and \(B\) are non-empty subsets of a ...
Basha, S Sadiq, Shahzad, N
openaire   +2 more sources

SOME COMMENTS ON BEST PROXIMITY POINTS FOR ORDERED PROXIMAL CONTRACTIONS

open access: yesJournal 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
openaire   +2 more sources

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