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Existence of common best proximity point for single and multivalued non-self mappings [PDF]

Carpathian Journal of Mathematics, 2021
In this article, we introduce a new concept called proximal E. A property for single and multivalued mappings. We prove existence of proximally coincidence point for such class of mappings.
V. Pragadeeswarar, R. Gopi
semanticscholar   +2 more sources

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A common best proximity point theorem for relatively nonexpansive mappings

The Journal of Analysis
S. Vaithilingam, K. Anisha
semanticscholar   +2 more sources

A Best Proximity Point Theorem for Geraghty-Contractions [PDF]

Fixed Point Theory and Applications, 2012
The purpose of this paper is to provide sufficient conditions for the existence of a unique best proximity point for Geraghty-contractions.Our paper provides an extension of a result due to Geraghty (Proc. Am. Math. Soc.
Jackie Harjani, Kishin B. Sadarangani, J Caballero   +2 more
exaly   +2 more sources

A New Approach to Fractals via Best Proximity Point

Chaos, Solitons and Fractals, 2021
In this paper, we present a new approach to fractals through best proximity points, inspired by the remarkable relationship between fixed point theory and fractal theory.
Håkan Şahin, Ishak Altun, Mustafa Aslantaş   +2 more
exaly   +2 more sources

Best Proximity Point Results in Non-Archimedean Fuzzy Metric Spaces

Fuzzy Information and Engineering, 2013
We consider the problem of finding a best proximity point which achieves the minimum distance between two nonempty sets in a non-Archimedean fuzzy metric space.
Calogero Vetro, Peyman Salimi
exaly   +2 more sources

Common Best Proximity Points: Global Optimal Solutions

Journal of Optimization Theory and Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naseer Shahzad, S. Sadiq Basha, R. Jeyaraj   +2 more
openaire   +3 more sources

Some common best proximity point theorems in a complete metric space

Afrika Matematika, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saranan Mondal, L. Dey
semanticscholar   +4 more sources

Some common best proximity points for proximity commuting mappings

Optimization Letters, 2012
Let \(A\) and \(B\) be nonempty sets of a metric space \((X,d)\), \(d(A,B)= \text{inf}\{d(x,y): x\in A,y\in B\}\), \(A_0= \{x\in A: d(x,y)= d(A,B)\) for some \(y\in B\}\); \(B_0= \{y\in B: d(x,y)= d(A,B)\) for some \(x\in A\}\). Let \(S,T: A\to B\). \(x\in A\) is said to be a common best proximity point if \(d(x,Sx)= d(x,Tx)= d(A,B)\).
Chirasak Mongkolkeha, Poom Kumam
openaire   +3 more sources