Some fixed point results via measure of noncompactness

In this paper, by using the measure of noncompactness and Meir-Keeler type mappings, we prove some new fixed point theorems for some certain mappings, namely, the weaker φ-Meir-Keeler type contractions, asymptotic weaker φ-Meir-Keeler type contractions, asymptotic sequence {ϕi }-Meir-Keeler type contraction, ξ-generalized comparison type contraction, and Rfunctional type ψ-contractions. Our results improve and hence cover the well-known Darbo’s fixed point theorem, and several related recent fixed point results.