Common Fixed Point Theorems for (\(\mathfrak{F}\); \(\phi\)) - Contractive Mappings on C*-algebra Valued \(\mathfrak{B}\)-metric Spaces
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.
*Author to whom correspondence should be addressed.
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.
Keywords: C*-algebra valued;, b-metric spaces, common fxed point