A new type of Kannan's fixed point theorem in strong $ b $- metric spaces
Hieu A. Doan
Abstract
<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 <sup>[<xref ref-type="bibr" rid="b10">10</xref>]</sup>. Furthermore, after each theorem are exemples and corollaries respectively. </abstract>
Topics & Concepts
MathematicsMetric spaceType (biology)Fixed-point theoremFixed pointContraction (grammar)Pure mathematicsDiscrete mathematicsComplete metric spaceMathematical analysisBiologyInternal medicineEcologyMedicineFixed Point Theorems Analysis