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On best proximity points of interpolative proximal contractions
Quaestiones Mathematicae, 2020In this paper, we introduce some kinds of interpolative proximal contractions named as Reich-Rus-Ćirić and Kannan types. Then taking into account the aforementioned mappings, we give a few best proximity point results. As special cases we obtain some fixed point results for interpolative contractions. To support the theory, some examples are provided.
Ishak Altun, Ayşenur Taşdemir
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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.
Espínola, Rafael +2 more
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Common Best Proximity Points: Global Optimal Solutions
Journal of Optimization Theory and Applications, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shahzad, N. +2 more
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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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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 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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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 points: global optimal approximate solutions
Journal of Global Optimization, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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BEST PROXIMITY POINT THEOREMS FOR CYCLIC GENERALIZED JSC-PROXIMAL CONTRACTIONS
Far East Journal of Mathematical Sciences (FJMS), 2019Summary: In this paper, the notion of a cyclic generalized JSC-proximal contraction is introduced, which is a generalization of \textit{A. Abkar} et al. [Fixed Point Theory Appl. 2016, Paper No. 66, 19 p. (2016; Zbl 1342.41037)]. Also, we give two new notions of cyclic generalized JSC-proximal contraction of 1st kind and 2nd kind.
Pritha, A. Jennie Sebasty, Karuppiah, U.
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Best proximity points: approximation and optimization
Optimization Letters, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Basha, S. Sadiq +2 more
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