The aim
of this paper is to prove common fixed point theorems for variants of weak
compatible maps in a complex valued-metric space. In this paper, we generalize
various known results in the literature using (CLRg)property. The
concept of (CLRg) does not require a
more natural condition of closeness of range.
References
[1]
Azam, A., Fisher, B. and Khan, M. (2011) Common Fixed Point Theorems in Complex Valued Metric Spaces. Numerical Functional Analysis and Optimization, 32, 243-253. http://dx.doi.org/10.1080/01630563.2011.533046
[2]
Sastry, K.P.R., Naidu, G.A. and Bekeshie, T. (2012) Metrizability of Complex Valued Metric Spaces and Remarks on Fixed Point Theorems in Complex Valued Metric Spaces. International Journal of Mathematical Archive, 3, 2686-2690.
[3]
Manro, S. (2013) Some Common Fixed Point Theorems in Complex Valued Metric Spaces Using Implicit Relation. International Journal of Analysis and Applications, 2, 62-70.
[4]
Sintunavarat, W. and Kumam, P. (2012) Generalized Common Fixed Point Theorems in Complex Valued Metric Spaces with Applications. Journal of Inequalities and Applications, 1, 1-12.
[5]
Verma, R.K. and Pathak, H.K. (2012) Common Fixed Point Theorems Using Property (E.A) in Complex Valued Metric Spaces. Thai Journal of Mathematics, 11, 347-355.
[6]
Jungck, G. and Rhoades, B.E. (1998) Fixed Point for Set Valued Functions without Continuous. Indian Journal of Pure and Applied Mathematics, 29, 227-238.
[7]
Sintunavarat, W. and Kumam, P. (2011) Common Fixed Point Theorems for a Pair of Weakly Compatible Mappings in Fuzzy Metric Spaces. Journal of Applied Mathematics, 2011, Article ID: 637958.
