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Best proximity point results for p-proximal contractions

Acta Mathematica Hungarica, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Altun, I., Aslantas, M., Sahin, H.
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Best proximity points for ψ-proximal multi-functions

Asian-European Journal of Mathematics, 2019
Best 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

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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Best Proximity Points: Optimal Solutions

Journal of Optimization Theory and Applications, 2011
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Best Proximity Points for Weak Proximal Contractions

Bulletin of the Malaysian Mathematical Sciences Society, 2014
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Best proximity point of generalized F-proximal non-self contractions

Journal of Fixed Point Theory and Applications, 2021
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Beg, Ismat   +2 more
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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
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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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