Best Proximity Points for a New Class of Generalized Proximal Mappings

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Tayyab Kamran, Muhammad Usman Ali, Mihai Postolache, Adrian Ghiura, Misbah Farheen, Best Proximity Points for a New Class of Generalized Proximal Mappings, Int. J. Anal. Appl., 13 (2) (2017), 198-205.

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Tayyab Kamran, Muhammad Usman Ali, Mihai Postolache, Adrian Ghiura, Misbah Farheen

Abstract

The best proximity points are usually used to find the optimal approximate solution of the operator equation Tx = x, when T has no fixed point. In this paper, we prove some best proximity point theorems for nonself multivalued operators, following the foot steps of Basha and Shahzad [Best proximity point theorems for generalized proximal contractions, Fixed Point Theory Appl., 2012, 2012:42].

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