fixed points of generalized α-meir-keeler type contractions and meir-keeler contractions through rational expression in b-metric-like spaces

In this paper, we first introduce some types of generalized α-meir-keeler contractions in b-metric-like spaces and then we establish some fixed point results for these types of contractions. also, we present a new fixed point theorem for a meir-keeler contraction through rational expression. finally, we give some examples to illustrate the usability of the obtained results.