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Common fixed point theorems for weakly compatible pairs on cone metric spaces. (English) Zbl 1190.54032
The results of this paper are related to those in [M. Abbas and G. Jungck, J. Math. Anal. Appl. 341, No. 1, 416–420 (2008; Zbl 1147.54022)], but the assumption of normality of the cone is omitted. These results also generalize some recent theorems of L.-G. Huang and X. Zhang [ibid. 332, No. 2, 1468–1476 (2007; Zbl 1118.54022)], P. Vetro [Rend. Circ. Mat. Palermo (2) 56, No. 3, 464–468 (2007; Zbl 1196.54086)] and Sh. Rezapour and R. Hamlbarani [J. Math. Anal. Appl. 345, No. 2, 719–724 (2008; Zbl 1145.54045)].

54H25Fixed-point and coincidence theorems in topological spaces