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Common fixed-point results for nonlinear contractions in ordered partial metric spaces. (English) Zbl 1271.54086

Summary: In this paper, a new class of a pair of generalized nonlinear contractions on partially ordered partial metric spaces is introduced, and some coincidence and common fixed-point theorems for these contractions are proved. The presented theorems are twofold generalizations of very recent fixed-point theorems of [I. Altun and A. Erduran, Fixed Point Theory Appl. 2011, Article ID 508730, 10 p. (2011; Zbl 1207.54051)., Altun et al., Topology Appl. 157, No. 18, 2778–2785 (2010; Zbl 1207.54052); corrigendum ibid. 158, No. 13, 1738-1740 (2011), S. G. Matthews, 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. Ann. N. Y. Acad. Sci. 728, 183–197 (1994; Zbl 0911.54025)] and many other known corresponding theorems.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems
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