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New extension of $$p$$-metric spaces with some fixed-point results on $$M$$-metric spaces. (English) Zbl 1414.54015
Summary: In this paper, we extend the $$p$$-metric space to an $$M$$-metric space, and we shall show that the definition we give is a real generalization of the $$p$$-metric by presenting some examples. In the sequel we prove some of the main theorems by generalized contractions for getting fixed points and common fixed points for mappings.

##### MSC:
 54H25 Fixed-point and coincidence theorems (topological aspects) 54E35 Metric spaces, metrizability 54E40 Special maps on metric spaces
##### Keywords:
fixed point; partial metric space
Full Text:
##### References:
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