Résumé:
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.