Optimization through best proximity points for multivalued F-contractions

Abstract

Best proximity point theorems ensure the existence of an approximate optimal solution to the equations of the type f (x) = x when f is not a self-map and a solution of the same does not necessarily exist. Best proximity points theorems, therefore, serve as a powerful tool in the theory of optimization and approximation. The aim of this article is to consider a global optimization problem in the context of best proximity points in a complete metric space. We establish an existence of best proximity result for multivalued mappings using Wardowski's technique.

Topics & Concepts