Authors:
Mukti Gangopadhyay,Mantu Saha ,A. P. Baisnab,DOI NO:
https://doi.org/10.26782/jmcms.2012.07.00004Keywords:
vector cone,metric space, topology,fixed point Theorem,Abstract
In this paper it is shown that a vector cone metric space as introduced by us bears a metric like topology. Cantor’s intersection like Theorem is proved and as an application of the same a useful fixed point Theorem is obtained.Refference:
I.Dejan Ilic, Vladimir Rakocevic, Common fixed points for maps on cone metric space, J. Math. Anal. Appl. 341 (2008), 876-882.
II.Huang Long-Guang, Zhang Xian, Cone metric spaces and fixed point theorem of contractive mappings, J. Math. Anal. Appl. 332 (2007), 1468-1476.
III.M. Abbas, G. Jungck, Common fixed point results for non commuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl, 341 (2008), 416-420.
IV.P. Velro, Common fixed points in cone metric spaces, Rendieonti del Circolo Mathematico di Palermo, Vol. 56 no. 3 (2007), pp. 464-468.
V.Sh. Rezapour, 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.
VI.Sreenivasan, T. K., Some properties of distance functions, Jour. Indian Math. Soc. 11 (1947)
Mukti Gangopadhyay, Mantu Saha , A. P. Baisnab View Download