Common ffiixed poiintts ffor generalliized α--iimplliiciitt conttracttiions iin parttiiall mettriic space and an applliicattiion

Abstract

In this memoir, we study some common fixed point theorems using the concept of a-admissible pair of mappings generalized by Aydi et al. (3) which are generalizing the definition of a-admissible mappings. Authors Based on the previous results, defined generalized a-implicit contractions in the framework of partial metric spaces, then they contribute some common fixed point results for such contractions. Also gave some consequences and corollaries from their obtained results. In the end, we present a synthesis of dynamic programming before show an application involving their theorem, and some examples are presented making effective the new concepts and results.