A COMMON FIXED POINT THEOREM FOR MULTIVALUED CIRIC TYPE MAPPINGS WITH NEW TYPE COMPATIBILITY

Abstract

Kaneko and Sessa defined the concept of compatibility for multivalued mappings with Hausdorff metric and proved a coincidence point theorem. After then, Pathak defined the concept of weak compatibility and proved a coincidence theorem. In the present work, we define a new type compatibility for multivalued mappings with Hausdorff metric. This new type compatibility is different from compatibility and weak compatibility. We give a common fixed point theorem for multivalued mappings using the new type compatibility.