Fixed Point Theorem for Maps Satisfying a General Contractive Condition of Integral Type

DOI: 10.4236/apm.2014.43013   PDF   HTML   XML   5,342 Downloads   7,423 Views  

Abstract

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.

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Sumitra,  . and Manro, S. (2014) Fixed Point Theorem for Maps Satisfying a General Contractive Condition of Integral Type. Advances in Pure Mathematics, 4, 82-88. doi: 10.4236/apm.2014.43013.

Conflicts of Interest

The authors declare no conflicts of interest.

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.

  
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