A new type of Kannan's fixed point theorem in strong b- metric spaces

Abstract

In this paper, we prove some generalizations of Kannan-type fixed point theorems for singlevalued and multivalued mappings defined on a complete strong b- metric space in terms of a Suzuki-type contraction. Our results extend a result of Górnicki [10]. Furthermore, after each theorem are exemples and corollaries respectively.

Keywords

• fixed point
• complete strong b- metric space
• strong b- metric spaces
• kannan mapping
• kannan type mapping