Common fixed point of multifunctions theorems in Cone metric spaces
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Abstract
In this paper, we generalize and obtain common fixed point of multifunctions in cone metric spaces. Our theorems improve and generalize of the results ([3],[9] and [10]).
References
[1] Huang Gaung and Zhang Xian, “Cone metric spaces and fixed point theorems of contractive mappings” J. Math Anal. Appl.332(2007),1468-1476.
[2] Sh. Rezapour and R. Hamlbarani, “Some notes on the Paper-Cone metric Spaces and fixed point theorems of contractive mappings”, J. Math. Anal. Appl.345 (2008),719-724.
[3] Sh. Rezapour and R.H.Haghi, “Fixed point of Multifunctions on Cone Metric Spaces”, Numerical Functional Analysis and Optimization, 30:7-8(2009),825-832.
[4] H.Mohebi, “Topical functions and their properties in a class of ordered Banach spaces, in continuous optimization”, Current Trends and Modern Applications, Part II, Springer (2005), PP 343-361.
[5] H.E.Kunze, D.La Torre and E.R. Vrscay, “Contraction multifunctions, fixed point inclusions and iterated multifunction system”, J. Math. Anal. Appl. 330(2007):159-173.
View more references (6)
[6] H.Covitz and S.B.Nadler,” Multi-valued contraction mappings in generalized metric spaces”, Israel J. Math. 8(1970):5-11.
[7] F.S. De Blasi and P.Gr.Georgiev,”On a fixed point theorem of Ky Fan”, Acta Math. Sinica 18(2)(2002):363-374.
[8] Seong-Hoon Cho and Mi Sun Kim, “Fixed Point theorems for general contractive multivalued mappings”, J.Appl. Math. Informatics Vol.27 (2009), 343-350.
[9] R. Krishnakumar and M. Marudai, “Fixed Point Theorems of Multivalued Mappings in Cone Metric Spaces”, Int.J. Contemp. Math. Sciences Vol.5, 2010, no.31,1533-1540.
[10] S. Jain and V.H.Badshah, “Fixed Point Theorem of Multivalued Mappings in Cone Metric Spaces”, Int.J.Mathematical Archive-2(12),2011,2753-2756.
[11] Sh.Rezapour, M.Derafshpour and R. Hamlbarani, “A review on topological properties of cone metric spaces”, in Proceedings of the International Conference on Analysis, Topology and Applications (ATA’08), Vrinjacka Banja, Serbia, May-June 2008.