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Jungck, G.; Radenović, S.; Radojević, S.; Rakočević, V.

Common fixed point theorems for weakly compatible pairs on cone metric spaces. (English) Zbl 1190.54032

Fixed Point Theory Appl. 2009, Article ID 643840, 13 p. (2009).
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)].
Reviewer: Dorel Miheţ (Timişoara)

Cited in 2 Reviews
Cited in 65 Documents

MSC:

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

Citations:

Zbl 1147.54022; Zbl 1118.54022; Zbl 1145.54045; Zbl 1196.54086
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\textit{G. Jungck} et al., Fixed Point Theory Appl. 2009, Article ID 643840, 13 p. (2009; Zbl 1190.54032)
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References:

[1] Abbas, M; Jungck, G, Common fixed point results for noncommuting mappings without continuity in cone metric spaces, Journal of Mathematical Analysis and Applications, 341, 416-420, (2008) · Zbl 1147.54022
[2] Huang, L-G; Zhang, X, Cone metric spaces and fixed point theorems of contractive mappings, Journal of Mathematical Analysis and Applications, 332, 1468-1476, (2007) · Zbl 1118.54022
[3] Vetro, P, Common fixed points in cone metric spaces, Rendiconti del Circolo Matematico di Palermo, 56, 464-468, (2007) · Zbl 1196.54086
[4] Rezapour, Sh; Hamlbarani, R, Some notes on the paper: “Cone metric spaces and fixed point theorems of contractive mappings”, Journal of Mathematical Analysis and Applications, 345, 719-724, (2008) · Zbl 1145.54045
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[8] Ilic, D; Rakocevic, V, Common fixed points for maps on cone metric space, Journal of Mathematical Analysis and Applications, 341, 876-882, (2008) · Zbl 1156.54023
[9] Ilic, D; Rakocevic, V, Quasi-contraction on a cone metric spacestar, open, Applied Mathematics Letters, 22, 728-731, (2009) · Zbl 1179.54060
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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.