Research ArticleOpen AccessGoogle Scholar indexed
Fixed Point Theorem for Maps Satisfying a General Contractive Condition of Integral Type
Department of Mathematics, Faculty of Science, Jazan University, Jazan, KSA
B. No. 33, H. No. 223, Peer Khana Road, Khanna, Ludhiana, India
- 1 Department of Mathematics, Faculty of Science, Jazan University, Jazan, KSA
- 2 B. No. 33, H. No. 223, Peer Khana Road, Khanna, Ludhiana, India
Advances in Pure Mathematics·Volume 04 (2014)·Pages 82–88·Published 28 March 2014·DOI10.4236/apm.2014.43013
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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.
KeywordsWeakly Compatible Maps(CLRg) PropertyCommon Fixed Point
- 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
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.