Open AccessW-interpolative Ciric-Reich-Rus type contractions on quasi-partial b-metric space
Author(s) -
Pragati Gautam,
Swapnil Verma,
Soumya Gulati
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2110533g
Subject(s) - mathematics , metric space , type (biology) , metric (unit) , space (punctuation) , pure mathematics , complete metric space , fixed point theorem , point (geometry) , fixed point , discrete mathematics , mathematical analysis , geometry , computer science , ecology , operations management , economics , biology , operating system
Karapinar introduced the notion of interpolative Ciric-Reich-Rus type contractions in the setting of complete metric space. Taking his approach forward, H. Aydi, initiated the concept of w-admissibility and proved some fixed point results on the same. This approach has been applied to partial-metric space as well. But the question is, can the above result be applied in quasi-partial b-metric space as well? Our paper deals with the above raised question. The paper discusses how w-admissibility can be used to obtain fixed point results for Ciric-Reich-Rus type contractions in quasi-partial b-metric space. Few examples are given to justify the result.