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Set-valued Prešić-Ćirić type contraction in 0-complete partial metric spaces. (English) Zbl 1349.54141

Summary: We 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 the partial metric case. The results 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 when the existing one cannot.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54C60 Set-valued maps in general topology
54E40 Special maps on metric spaces
54E50 Complete metric spaces
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