Abstract We establish a relationship between asymptotic regularity and common stationary points of multivalued mappings on metric space. As consequence our results, we obtain new fixed point result for two asymptotically regular single-valued mappings. Our work significantly improves complements comparable results in the literature.

In the context of a complete metric space, we will consider common fixed point problem for two self operators. The operators are assumed to satisfy general contraction type condition inspired by Ćirić theorems. Under some appropriate conditions establish existence, uniqueness and approximation results point. same framework, second is study various stability properties. More precisely, obtain su...