Results 231 to 240 of about 12,111,967 (266)

Best proximity point theorems [PDF]

Journal of Approximation Theory, 2011
Let us assume that A and B are non-empty subsets of a metric space. In view of the fact that a non-self mapping T:A⟶B does not necessarily have a fixed point, it is of considerable significance to explore the existence of an element x that is as close to
S Sadiq Basha
exaly   +2 more sources

A best proximity point theorem for Geraghty-contractions

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 Sadarangani, J Caballero   +2 more
exaly   +2 more sources

Best proximity point theorems for rational proximal contractions [PDF]

Fixed Point Theory and Applications, 2013
We provide sufficient conditions which warrant the existence and uniqueness of the best proximity point for two new types of contractions in the setting of metric spaces.
Calogero Vetro, Hemant Kumar Nashine, Poom Kumam   +2 more
exaly   +2 more sources

A note on best proximity point theory using proximal contractions

Journal of Fixed Point Theory and Applications, 2018
In this paper, a reduction technique is used to show that some recent results on the existence of best proximity points for various classes of proximal contractions can be concluded from the corresponding results in fixed point ...
Moosa Gabeleh, Calogero Vetro
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

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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 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