Common Fixed Point Theorems for (\(\mathfrak{F}\); \(\phi\)) - Contractive Mappings on C*-algebra Valued \(\mathfrak{B}\)-metric Spaces

Abstract

This paper, we extends the new concept of common fixed point theorems in C*-algebra valued b-metric space (AV BMS) via (\(\mathfrak{F}\); \(\phi\)) - contractive mappings. Investigated are the common fixed points criteria for existence and uniqueness. Additionally, provide an illustrate an example.