A general fixed point theorem for two hybrid pairs of mappings satisfying a mixed implicit relation and applications


Valeriu Popa




The purpose of this paper is to extend Theorem 3.2 [16] for two hybrid pairs of mappings satisfying a mixed implicit relation and a new type of common limit range property without weak compatibility. As applications, some fixed point results for pairs of mappings satisfying contractive conditions of integral type and $\varphi$-contractive maps are obtained.