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

doi:10.9734/arjom/2023/v19i9713

Research Article Open access CC BY 4.0

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 · pp. 218–225 · Published 21 Jul 2023

10.9734/arjom/2023/v19i9713

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.

C*-algebra valued; b-metric spaces common fxed point

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K. Maheshwaran, R. Jahir Hussain, Nesrin Manav Tatar (2023). Common Fixed Point Theorems for (\(\mathfrak{F}\); \(\phi\)) - Contractive Mappings on C*-algebra Valued \(\mathfrak{B}\)-metric Spaces. Asian Research Journal of Mathematics , 218–225. https://doi.org/10.9734/arjom/2023/v19i9713

Affiliations

K. Maheshwaran — PG & Research Department of Mathematics, Jamal Mohamed College (Autonomous) (Affiated to Bharathidasan University), Tiruchirappalli-620020, Tamilnadu, India.
R. Jahir Hussain — PG & Research Department of Mathematics, Jamal Mohamed College (Autonomous) (Affiliated to Bharathidasan University), Tiruchirappalli-620020, Tamilnadu, India.
Nesrin Manav Tatar — Department of Mathematics, Science and Art Faculty, Erzincan Binali Yildirim University, Erzincan, Turkey.

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