Global optimization and applications to a variational inequality problem

Abstract

In the present paper, we study the existence and convergence of the best proximity point for cyclic Θ\Theta -contractions. As consequences, we extract several fixed point results for such cyclic mappings. As an application, we present some solvability theorems in the topic of variational inequalities.

Keywords

• cyclic contraction
• best proximity point
• variational inequality
• 65k10
• 47h10