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Zbl 1230.54032
Abdeljawad, T.; Karap inar, Erdal; Taş, K.
Existence and uniqueness of a common fixed point on partial metric spaces. (English)
[J] Appl. Math. Lett. 24, No. 11, 1900-1904 (2011). ISSN 0893-9659

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 2000:: *54H25 Fixed-point theorems in topological spaces

Keywords: partial metric space; weak $\phi $-contraction; common fixed point

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Zentralblatt MATH Berlin [Germany]