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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
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Best proximity points for proximal generalized contractions in metric spaces

Optimization Letters, 2012
Given two nonempty subsets \(A\) and \(B\) of a metric space \((X, d)\) and a non-self mapping \(T: A \to B\), the equation \(Tx = x\) is unlikely to have an exact solution. If there is no exact solution to this equation then a best proximity point theorem offers sufficient conditions for the existence of an optimal approximate solution \(x\), called a
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Best proximity point theorems in b-metric spaces

The Journal of Analysis, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Joseph, J. Maria, Beny, J., Marudai, M.
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Best proximity point theorems for proximal cyclic contractions

Journal of Fixed Point Theory and Applications, 2017
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Basha, S. Sadiq, Shahzad, N., Vetro, C.
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Best Proximity Point Theorems via Proximal Non-self Mappings

Journal of Optimization Theory and Applications, 2014
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