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On best proximity points of interpolative proximal contractions

Quaestiones Mathematicae, 2020
In 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, 2014
zbMATH 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, 2010
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Shahzad, N.   +2 more
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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.
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Best proximity point theorems in b-metric spaces

The Journal of Analysis, 2018
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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, 2014
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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 points: global optimal approximate solutions

Journal of Global Optimization, 2010
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BEST PROXIMITY POINT THEOREMS FOR CYCLIC GENERALIZED JSC-PROXIMAL CONTRACTIONS

Far East Journal of Mathematical Sciences (FJMS), 2019
Summary: 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, 2011
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Basha, S. Sadiq   +2 more
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