Characterizations of quasi-metric completeness in terms of Kannan-type fixed point theorems

Year 2017, Volume: 46 Issue: 1, 67 - 76, 01.02.2017

Carmen Alegre , Hacer Dağ Salvador Romaguera , Pedro Tirado

Abstract

We obtain quasi-metric versions of Kannan's fixed point theorem for self-mappings and multivalued mappings, respectively, which are used to deduce characterizations of d-sequentially complete and of left K-sequentially complete quasi-metric spaces, respectively.

Keywords

Quasi-metric space, complete, Kannan mapping, fixed point

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