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Existence and uniqueness of a common fixed point on partial metric spaces. (English) Zbl 1230.54032

Summary: In this work, a general form of weak \(\phi\)-contraction is considered on partial metric spaces, to get a common fixed point. It is shown that self-mappings \(S,T\) on a complete partial metric space \(X\) have a common fixed point if they are generalized weak \(\phi \)-contractions.

MSC:

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