Results 231 to 240 of about 173,800 (258)
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Best Proximity Point Theorems via Proximal Non-self Mappings
Journal of Optimization Theory and Applications, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Moosa Gabeleh, Gabeleh Moosa
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Best proximity points: approximation and optimization
Optimization Letters, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Sadiq Basha +2 more
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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
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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
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Best proximity points for ψ-proximal multi-functions
Asian-European Journal of Mathematics, 2019Best 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, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Best Proximity Points: Optimal Solutions
Journal of Optimization Theory and Applications, 2011zbMATH 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, 2013This paper represents a contribution to the classical best approximation problem in metric spaces.
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Pythagorean Property and Best-Proximity Point Theorems
Journal of Optimization Theory and Applications, 2014zbMATH 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, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ismat Beg +3 more
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Some common best proximity points for proximity commuting mappings
Optimization Letters, 2012Let \(A\) 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
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