T- Reich Mapping in Topological Vector Space-Valued Cone Metric Spaces

[1] I. Beg, A. Azam, M. Arshad, Fixed Point in Topological Vector Space-
Valued Cone Metric Spaces, Fixed Point Theory and Applications, Vol-
ume 2010, Article ID 604084, 9 pages.
[2] A. Beiranvand, S. Moradi, M. Omid and H. Pazandeh, Two Fixed point
theorem for special mappings, arXiv: 0903.1504 v1[math.FA].
[3] W.S. Du, A note on cone metric fixed point theory and its equivalence,
Nonlinear Analysis, (2010), 2259-2261, 72.
[4] G. E. Hardy and T.D. Rogers, A generalization of a Fixed Point theorem
of Reich, Cand. Math. Bull., (1973),16, 201-206.
[5] L. G. Huang, X. Zhang, Cone metric spaces and Fixed point theorems of
Contractive mappings, J. Math. Anal. Appl., (2007), 1468-1476, 332.
[6] R. Jos´e Morales and Rojas Edixon, Cone Metric Spaces and Fixed Point
Theorems of T-Kannan Contractive Mappings, Int. Journal of Math.
Analysis, 2010, Vol. 4, no. 4, 175- 184.
[7] G. Jungck and B.E. Rohades, Fixed Point Theorems for occasionally
weakly compatible mappings, Fixed Point Theory, 2006, Vol.7, no.2, PP.
287-296.
[8] Z. Kadelburg, S. Radenovi´c and V. Rakoˇcevi´c, Topological Vector Space-
Valued Cone Metric Spaces and Fixed Point Theorems, Hindawi Pub-
lishing Corporation, Fixed Point Theory and Application, Volume 2010,
Article ID 170253, 17 pages.
Fixed Point Theorems 359
[9] J.S. Vandergraft, Newton’s method for convex operators in partially or-
dered spaces, SIAM Journal on Numerical Analysis, vol.4, pp. 406-432,
1967.
[10] S. Reich, Some Remarks Concerning Contraction Mappings, Canad.
Math. Bull., (1971), Volume 14, 121-124.
[11] Sh. Rezapour, R. Hamlbarani, Some notes on the paper Cone met-
ric spaces and Fixed point theorems of contractive mappings, J. Math.
Anal.Appl.,(2008),719-724, 345.
[12] R. Sumitra and V. Rhymend Uthariaraj, Common Fixed Point Theorem
for T-Hardy-Rogers Contraction Mapping in a Cone Metric Space, Inter-
national Mathematical Forum, (2010),5, no. 30, 1495 - 1506.