The purpose of this article is to compute a global minimizer of the function x to d(x, Tx) , where T is a proximal cyclic contraction in the framework of a best proximally complete space, thereby ensuring the existence of an optimal approximate solution, called a best proximity point, to the equation Tx= x when T is not necessarily a self-mapping.
Basha, S., Shahzad, N., Vetro, C. (2017). Best proximity point theorems for proximal cyclic contractions. JOURNAL OF FIXED POINT THEORY AND ITS APPLICATIONS, 19(4), 2647-2661 [10.1007/s11784-017-0447-8].
Best proximity point theorems for proximal cyclic contractions
Vetro, C.
2017-01-01
Abstract
The purpose of this article is to compute a global minimizer of the function x to d(x, Tx) , where T is a proximal cyclic contraction in the framework of a best proximally complete space, thereby ensuring the existence of an optimal approximate solution, called a best proximity point, to the equation Tx= x when T is not necessarily a self-mapping.
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