COMMON FIXED POINT THEOREM FOR WEAKLY COMPATIBLE MAPPINGS IN COMPLEX VALUED METRIC SPACES
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Author(s):
SHALINI SHARMA , KAMAL KUMAR , NISHA BHARDWAJ
Vol - 5, Issue- 10 ,
Page(s) : 79 - 90
(2014 )
DOI : https://doi.org/10.32804/CASIRJ
Abstract
In this paper, we prove a common fixed point theorem for weakly compatible mappings in complex valued metric spaces. Our results generalize some recent result in the literature due to Azam [1] and Sintunavarat [10]. We also present an example to support our result.
- A. Azam, F. Brian, M. Khan, Common fixed point theorems in complex valued metric spaces, Numer. Funct. Anal. Optim., 32 (2011), 243-253.
- A. Azam, M. Arshad and I. Beg, Common fixed point theorems in cone metric spaces, The Journal of Nonlinear Sciences and Applications, 2 (2009), 204-213.
- C. Di Bari, P. Vetro, ?-Pairs and common fixed points in cone metric spaces, Rendiconti del Circolo Matematico di Palermo, 57 (2008), 279-285.
- C. T. Aage and J. N. Salunke, Some fixed point theorems for expansion onto mappings on cone metric spaces, Acta Mathematica Sinica English Series, 27 (2011), 1101-1106.
- G. Jungck, Compatible mapping and common fixed points, International Journal of Mathematics and Mathematical Sciences, 9 (1986), 771-779.
- G. Jungck, Common fixed points of commuting and compatible maps on compacta, Proc. Am. Math. Soc, 103 (1988), 977-983.
- G. Jungck, Common Fixed points for non-continuous nonself-mapping on a non-numeric spaces, Far East J. Math. Sci., 4 (1996), 199-212.
- L. G. Huang, X. Zhang, Cone metric Spaces and fixed point theorems of contactive mappings, J. Math. Anal. Appl., 332 (2007), 1468-1476.
- M. Abbas, and G. Jungck, Common fixed point results for non-commuting mapping without continuity in cone metric spaces, J. Math. Anal. Appl., 341 (2008), 416-420
- W. Sintunavarat and P. Kumam, Generalized common fixed point theorems in complex valued metric spaces with applications, Journal of Inequalities and Application, doi:10.1186/1029-242X-2012-84.
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