COMMON FIXED POINT THEOREMS FOR WEAKLY COMPATIBLE MAPPINGS IN COMPLEX VALUED b-METRIC SPACES
DOI:
https://doi.org/10.24297/jam.v12i12.5744Keywords:
Complex valued b-metric space, weakly compatible maps, (E.A.) property, (CLRg) property.Abstract
In this paper, we prove a common xed point theorem for weakly compatible mappings in complex valued b-metric space and also improve the condition of contraction of the results of M. Kumar et al.[7]. Further, we prove common xed point theorems for weakly compatible mappings with (E.A.) property and (CLRg) property.Downloads
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References
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[7] M. Kumar, P. Kumar, S. Kumar, Common xed point theorems in Complex valued metric spaces, Journal of Analysis & Number Theory, 2(2), 103-109(2014).
[8] S. Kumar, M. Kumar, P. Kumar, S.M. Kang, Common xed point theorems for weakly compatible mappings in complex valued metric spaces, Int. J. of Pure and Applied Mathematics, 92(3), 403-419(2014).
[9] A.A. Mukheimer, Some common xed point theorems in complex valued b-metric spaces, The Scientic World Journal, Vol.2014(2014), Article ID 587825, 6 pages.
[10] K.P.R Rao, P.R Swamy, J.R., Prasad, A common xed point theorem in complex valued b-metric spaces, Bulletin of Mathematics and Statistics Research, Vol. 1, Issue 1,1-8(2013).
[11] R.K. Verma, H.K. Pathak, Common xed point theorems using property (E.A.) in complex valued metrid spaces, Thai J. of Mathematics, 11(2), 347-355(2013).
[12] W. Sintunavarat, P. Kumam, Common xed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces, Journal of Applied Mathematics, 2011, Article ID 637958, 14 pages.
[13] W. Sintunavarat, P. Kumam, Generalized common xed point theorems in complex valued metric spaces and applications, Journal of Inequalities and Applications, (2012), 2012:84
[14] W. Sintunavarat, Y.J. Cho, P. Kumam, Urysohn integral equations ap- proach by common xed points in complex valued metric spaces, Advan ces in Dierence Equations, 2013(2013):49.
188(2002).
[2] A.Azam, B.Fisher and M. Khan, Common xed point theorems in complex valued metric spaces, Numer. Funct. Anal. Optim. 32(3),243-253(2011).
[3] A.K. Dubey, Common xed point results for contractive mappings in com- plex valued b-metric spaces, Nonlinear Funct. Anal. and Appl., Vol.20, No.2, 257-268(2015).
[4] A.K. Dubey, Rita Shukla, R.P. Dubey, Some Fixed Point Theorems in Com- plex Valued b-Metric Spaces, Journal of Complex Systems, Vol. 2015, Article ID 832467, 7 Pages, http.//dx.doi.org/10.1155/2015/832467 .
[5] A.K. Dubey, Rita Shukla, R.P. Dubey, Some common xed point theorems for contractive mappings in complex valued b-metric spaces, Asian Journal of Mathematics and Applications, Vol. 2015, Article ID ama0266,
[6] G. Jungck, Common xed points for non-continuous non-self mappings on non-metric spaces, Far East J. Math. Sci. 4(2), 199-212(1996).
[7] M. Kumar, P. Kumar, S. Kumar, Common xed point theorems in Complex valued metric spaces, Journal of Analysis & Number Theory, 2(2), 103-109(2014).
[8] S. Kumar, M. Kumar, P. Kumar, S.M. Kang, Common xed point theorems for weakly compatible mappings in complex valued metric spaces, Int. J. of Pure and Applied Mathematics, 92(3), 403-419(2014).
[9] A.A. Mukheimer, Some common xed point theorems in complex valued b-metric spaces, The Scientic World Journal, Vol.2014(2014), Article ID 587825, 6 pages.
[10] K.P.R Rao, P.R Swamy, J.R., Prasad, A common xed point theorem in complex valued b-metric spaces, Bulletin of Mathematics and Statistics Research, Vol. 1, Issue 1,1-8(2013).
[11] R.K. Verma, H.K. Pathak, Common xed point theorems using property (E.A.) in complex valued metrid spaces, Thai J. of Mathematics, 11(2), 347-355(2013).
[12] W. Sintunavarat, P. Kumam, Common xed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces, Journal of Applied Mathematics, 2011, Article ID 637958, 14 pages.
[13] W. Sintunavarat, P. Kumam, Generalized common xed point theorems in complex valued metric spaces and applications, Journal of Inequalities and Applications, (2012), 2012:84
[14] W. Sintunavarat, Y.J. Cho, P. Kumam, Urysohn integral equations ap- proach by common xed points in complex valued metric spaces, Advan ces in Dierence Equations, 2013(2013):49.
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2017-02-28
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How to Cite
COMMON FIXED POINT THEOREMS FOR WEAKLY COMPATIBLE MAPPINGS IN COMPLEX VALUED b-METRIC SPACES. (2017). JOURNAL OF ADVANCES IN MATHEMATICS, 12(12), 7014-7022. https://doi.org/10.24297/jam.v12i12.5744
