Fixed Point Theoreme In C*-Algebras Valued Asymmetric Spaces

Abstract

In this work, we introduce the concept of $C^{\ast }$-algebra valued asymetric metric space, the concept of forward and the concept of backward $C^{\ast }$ valued asymetric contractions. We discuss the existence and uniqueness of fixed points for a self-mapping defined on a $C^{\ast }$-algebra valued asymetric, and we give an application.