Open Access$ C^* $-algebra valued $ \mathcal{R} $-metric space and fixed point theorems
Author(s) -
Astha Malhotra,
AUTHOR_ID,
Deepak Kumar,
Choonkil Park,
AUTHOR_ID
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022365
Subject(s) - mathematics , metric space , metric (unit) , fixed point , space (punctuation) , algebra over a field , point (geometry) , fixed point theorem , discrete mathematics , pure mathematics , combinatorics , mathematical analysis , computer science , geometry , operations management , economics , operating system
In the present manuscript, notions of $ C^* $-algebra valued $ \mathcal{R} $-metric space and $ C^* $-algebra valued $ \mathcal{R} $-contractive map are introduced along with some fixed point results which in turn generalizes and unifies certain well known results in the existing literature. Further, in support of the obtained results some illustrative examples have been provided.