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Best Proximity Point Theorems via Proximal Non-self Mappings

Journal of Optimization Theory and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Moosa Gabeleh, Gabeleh Moosa
exaly   +3 more sources

Best proximity points: approximation and optimization

Optimization Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Sadiq Basha   +2 more
openaire   +2 more sources

Best Proximity Points

2014
Ky Fan’s best approximation theorems, best proximity pair theorems, and best proximity point theorems have been studied in the literature when the fixed point equation \(Tx = x\) does not admit a solution. This chapter contains some basic results on best proximity points of cyclic contractions and relatively nonexpansive maps.
P. Veeramani, S. Rajesh
openaire   +1 more source

Best proximity points for ψ-proximal multi-functions

Asian-European Journal of Mathematics, 2019
Best proximity point theorems for self-mappings and multi-functions were investigated with different conditions on spaces and the contractions of mappings. In this paper, we will prove best proximity point theorems for some generalized multi-functions that we call [Formula: see text]-proximal multi-functions, which are of two types, [Formula: see text]
Shojaat, Hadi   +2 more
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Best Proximity Points for Weak Proximal Contractions

Bulletin of the Malaysian Mathematical Sciences Society, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Best Proximity Points: Optimal Solutions

Journal of Optimization Theory and Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Some Results on Best Proximity Points

Journal of Optimization Theory and Applications, 2013
This paper represents a contribution to the classical best approximation problem in metric spaces.
openaire   +1 more source

Pythagorean Property and Best-Proximity Point Theorems

Journal of Optimization Theory and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rafael Espínola   +2 more
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Best proximity points in noncommutative Banach spaces

Computational and Applied Mathematics, 2022
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Ismat Beg   +3 more
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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   +2 more sources

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