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Research Article Open access CC BY 4.0

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

R. Jahir Hussain, K. Maheshwaran

Asian Research Journal of Mathematics · pp. 24–36 · Published 18 Mar 2023

10.9734/arjom/2023/v19i5656

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.

Cone b-Metric space Banach algebra expansive mapping

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