Fixed Points of Some Asymptotically Regular Multivalued Mappings Satisfying a Kannan-Type Condition

Abstract

In this paper, we establish some existence of fixed-point results for some asymptotically regular multivalued mappings satisfying Kannan-type contractive condition without assuming compactness of the underlying metric space or continuity of the mapping.

Keywords

• fixed point
• multivalued map
• Kannan-type contraction
• complete metric space
• boundedly compact
• orbitally continuous mapping