Common Fixed Point Theorems for T-Weak Contraction Mapping in a Cone Metric Space

1] L.G.Huang, and X.Zhang, Cone metric spaces and xed point theorems
of contractive mappings, Journal of Mathematical Analysis and Applica-
tions, 332(2),(2007),1468-1476.
[2] Sh. Rezapour and R. Hamlbarani, Some notes on the paper Cone met-
ric spaces and xed point theorems of contractive mappings, Journal of
Mathematical Analysis and Applications, 345(2),(2008),719-724.
A.K.Dubey, S.K.Tiwari and R.P.Dubey - Common Fixed Point Theorems 130
[3] J.R. Morales and E. Rojas, T-Zamrescu and T-Weak contraction mappings
on cone metric spaces, arXiv:0909.1255v1[math.FA](2009).
[4] S. Moradi, Kannan xed point theorem on complete metric spaces and on
generalized metric spaces depend on another function, arXiv:0903.1577v1[math.FA],(2009).
[5] A. Beiranvand, S.Moradi, M. Omid and H. Pazandeh, Two xed point the-
orem for special mapping, arXiv:0903.1504v1[math.FA],(2009).
[6] V.Berinde, Iterate Approximation of xed points, lect. Notes Math., Vol
1912, (2nd ed.), Springer Verlag, Berlin, 2007.
[7] V.Berinde, On the approximation of xed points of weak contractive map-
pings, Carpathian J. Math.,19,(1),(2003),7-22.
[8] V. Berinde, On the convergence of the Ishikawa Iteration in the class of quasi
contractive operators, Acta Math. Univ. Comenianae, 73, (1), (2004),
119-126.
[9] J.R. Morales and E. Rojas, Cone metric spaces and xed point theorems
of T-contractive mappings, Revista Notas de Matematica, Vol 4(2), No.
269,(2008), PP 66-78.
[10] J.Morales and E. Rojas, Cone metric spaces and xed point theorems of
T-Kannan contractive mappings, arXiv:0907.3949v1[math.FA].
[11] S.K.Chatterjea, Fixed point theorems, C.R.Acad.Bulgare Sci.,25,(1972),727-
730.
[12] R. Kannan, some results on xed points, Bull-Calcutta Math. Soc.,60,(1968),71-
76.
A.K.Dubey, S.K.Tiwari and R.P.Dubey - Common Fixed Point Theorems 131
[13] T.Zamrescu, Fixed point theorems in metric spaces, Arch. Math.,23,(1972),292-
298.
[14] D.Ilic and V. Rakocevic, Quasi-contraction on a cone metric space, Appl.
Math. Lett.,22,(5),(2009),728-731.
[15] M.S. Khan and M. Samanipour, Fixed point theorems for some discon-
tinuous operators in cone metric space Mathematica Moravica,Vol 12-
2,(2008),29-34.
[16] V. Raja and S.M.Vaezpour, Some extension of Banach's contraction princi-
ple in complete cone metric spaces, Fixed point Theory and Applications,
(2008), 11p .
[17] B.E. Rhodes, A comparison of various denitions of contractive mappings,
Trans. Amer. Math. Soc.,226,(1977), 257-290.