w-Interpolative Ciric´-Reich-Rus Type Contractions On quasi-partial b-metric spaces

Abstract

Erdal Karapinar introduced the notion of interpolative ciri´c-reich-rus type contractions in the setting of complete metric space.Later, taking his approach forward, Hassen Aydi, initiated the concept of w-admissibility and proved some fixed point results on the same. This approach has been applied to partial
metric spaces 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 analyzes how w-admissibility can be used to obtain fixed point results for ciri´c-reich-rus type contractions, in quasi-partial b-metric spaces. Finally, we have laid down a few examples to justify the result.