Abstract

The purpose of this paper is to introduce the set-valued Prešić-Ćirić type contraction in 0-complete partial metric spaces and to prove some coincidence and common fixed point theorems for such mappings in product spaces, in partial metric case. Results of this paper extend, generalize and unify several known results in metric and partial metric spaces. An example shows how the results of this paper can be used while the existing one cannot.

Keywords: Set-valued mapping; partial metric space; fixed point; Prešić type mapping.

MSC: 47H10, 54H25

Pages:  178$-$189     

Volume  66 ,  Issue  2 ,  2014