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Zbl 1207.54052
Altun, Ishak; Sola, Ferhan; Simsek, Hakan
Generalized contractions on partial metric spaces. (English)
[J] Topology Appl. 157, No. 18, 2778-2785 (2010); corrigendum ibid. 158, No. 13, 1738-1740 (2011). ISSN 0166-8641

In the present paper, the authors prove some fixed point theorems for generalized nonlinear contractive type mappings on complete partial metric spaces, including a Banach type fixed point theorem due to {\it S. G. Matthews} [Partial metric topology. Andima, Susan (ed.) et al., 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)]. Moreover, a homotopy result on fixed points is given.
[In-Sook Kim (Suwon)]

MSC 2000:: *54H25 Fixed-point theorems in topological spaces
47H09 Mappings defined by "shrinking" properties
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces

Keywords: fixed point; generalized contraction; partial metric space

Citations: Zbl 0911.54025

Cited in: Zbl 1244.54090

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