Fixed Point Theorem for (\(\Phi\), \(\mathfrak{F}\))– Expansive Mappings in Cone b-Metric Spaces over Banach Algebra

Abstract

The class functions and are used in this paper to establish the notion of fixed point theorem on expansive mappings. The primary result is a generalization of the fixed point theorem for (\(\Phi\), \(\mathfrak{F}\)) expansive mappings on cone -metric spaces over Banach algebra \(\mathfrak{V}\). Investigated are the fixed point's criteria for existence and uniqueness. Additionally, provide an illustration.