Fixed Point Theorem for (\(\Phi\), \(\mathfrak{F}\))– Expansive Mappings in Cone b-Metric Spaces over Banach Algebra
R. Jahir Hussain
Jamal Mohamed College (Autonomous), Affiliated to Bharathidasan University, Tiruchirapplli-620020, Tamil Nadu, India.
K. Maheshwaran
Jamal Mohamed College (Autonomous), Affiliated to Bharathidasan University, Tiruchirapplli-620020, Tamil Nadu, India.
*Author to whom correspondence should be addressed.
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.
Keywords: Cone b-Metric space, Banach algebra, expansive mapping