Global Optimal Solutions for Proximal Fuzzy Contractions Involving Control Functions

Abstract

In this study, we introduce new concepts of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M1"> <a:mi>α</a:mi> <a:mo>−</a:mo> <a:mi mathvariant="script">FZ</a:mi> </a:math> -contraction and <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" id="M2"> <d:mi>α</d:mi> <d:mo>−</d:mo> <d:mi>ψ</d:mi> <d:mo>−</d:mo> <d:mi mathvariant="script">FZ</d:mi> </d:math> -contraction and we discuss existence results of the best proximity points of such types of non-self-mappings involving control functions in the structure of complete fuzzy metric spaces. Our results extend, generalize, enrich, and improve diverse existing results in the current literature.

Topics & Concepts