W-interpolativé Ćirić-Reich-Rus type contractions on quasi-partial b-metric space


Pragati Gautam, Swapnil Verma, Soumya Gulati




Karapinar introduced the notion of interpolativé Cirić-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 Ćirić-Reich-Rus type contractions in quasi-partial b-metric space. Few examples are given to justify the result