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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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Best proximity points for proximal generalized contractions in metric spaces
Optimization Letters, 2012Given 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, 2018zbMATH 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, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Completeness of b−Metric Spaces and Best Proximity Points of Nonself Quasi-Contractions
Symmetry, 2021Basit Ali, Ali Basit
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Optimum Solutions of Systems of Differential Equations via Best Proximity Points in b-Metric Spaces
Mathematics, 2023Manuel De La Sen +2 more
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Common best proximity points for a pair of mappings with certain dominating property
Demonstratio Mathematica, 2023Phakdi Charoensawan
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