... formula ...-Contraction in terms of measure of noncompactness with application for nonlinear integral equations

摘要

In this paper, some new generalization of Darbo’s fixed point theorem is proved by using a F(ψ, φ)-contraction in terms of a measure of noncompactness. Our result extends to obtaining a common fixed point for a pair of compatible mappings. The paper contains an application for nonlinear integral equations as well.