C-class functions in generalized metric spaces and applications

Abstract

Some coincidence and common fixed points are established in G-metric spaces via C-class functions covering an extensive class of contractive conditions. Our outcomes do not rely on the completeness of space/subspace, the continuity or the containment of range space of included tangential pair of single valued mappings. Some interesting examples are furnished and the solutions of initial value problems are given to demonstrate the usability of results acquired.