K. Maheshwaran

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

K. Maheshwaran, R. Jahir Hussain & Nesrin Manav Tatar · Asian Research Journal of Mathematics · 2023

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 ill...

Open access Research Article 10.9734/arjom/2023/v19i9713

Common Fixed Point Theorem for (\(\phi\),\(\mathfrak{F}\))–Multi-Valued Mappings in Cone b-Metric Spaces over Banach Algebra

R. Jahir Hussain & K. Maheshwaran · Asian Research Journal of Mathematics · 2023

In the present paper, we introduced the concept of generalized multi-valued contraction mappings, via the class functions \(\Phi\) and \(\Psi\) Also we proved some fixed point results for (\(\phi\),\(\mathfrak{F}\))- multi-valued mappings on cone b-metric spaces over Banach algeb...

Open access Research Article 10.9734/arjom/2023/v19i6663

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 · 2023

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 \(...

Open access Research Article 10.9734/arjom/2023/v19i5656