Fixed point theorems for monotone mappings on partial metric spaces. (English) Zbl 1207.54051

Summary: S. G. Matthews [Partial metric topology. Susan Andima et al. (eds.), Papers on general topology and applications. Papers from the 8th summer conference at Queens College, New York, NY, USA, June 18–20, 1992. New York, NY: The New York Academy of Sciences. Ann. N. Y. Acad. Sci. 728, 183–197 (1994; Zbl 0911.54025)] introduced a new distance \(\mu\) on a nonempty set \(X\), which is called partial metric. If (\(X,p\)) is a partial metric space, then \(p(x,x)\) may not be zero for \(x \in X\). In the present paper, we give some fixed point results on these interesting spaces.


54H25 Fixed-point and coincidence theorems (topological aspects)


Zbl 0911.54025
Full Text: DOI EuDML


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