# Advances in Analysis

### Common Coupled Fixed Points for Four Maps Using Property(E.A.) in Complex Valued *b*- Metric Spaces

Download PDF (523.5 KB) PP. 1 - 7 Pub. Date: July 8, 2016

### Author(s)

**K.P.R.Rao**^{*}

Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar -522 510, A.P., India.**Sk.Sadik**

Department of Mathematics, Sir C R R College of Engineering, Eluru, West Godhawari - 534007, Andhra Pradesh, India**S.V.K.Sarma**

Department of S and H(Mathematics), Dhanekula Institute of Engineering and Technology, Ganguru, Penamaluru Mandalam, Vijayawada -521139

### Abstract

*b*-metric spaces. Also we give an example to illustrate our main theorem.

### Keywords

### References

[1] A.Azam,B.Fisher and M.Khan,Common fixed point theorems in complex valued metric spaces, Numer. Funct. Anal. Optim. 32(3), (2011), 243-253.

[2] C.Klin-eam and C.Suanoom,Some common fixed point theorems for generralized contractive type mappings on complex valued metric spaces, Abstr.Appl.Anal.,2013,6 pages,Article ID 604215, doi.10.1155/2013/604215.

[3] F. Rouzkard and M. Imdad, Some common fixed point theorems on complex valued metric spaces, Comp. Math.Appls., 64,(2012), 1866-1874.

[4] H. K. Nashine, M. Imdad and M. Hasan,Common fixed point theorems under rational contractions in complex valued metric spaces,J. Nonlinear Sci. Appl.,7,(2014), 42-50.

[5] J.Kumar and S.Vashistha,Coupled fixed point theorem for generalized contraction in complex valued metric spaces,International Journal of Computer Applications,83(7),(2013),36-40.

[6] K.Sitthikul and S.Saejung,Some fixed points in complex valued metric spaces, Fixed point theory Appl.,2012,11 pages,Article ID 189 .

[7] K.P.R.Rao,P.Ranga Swamy and J.Rajendra Prasad,A common fixed point theorem in complex valued b-metric spaces,Bulletin of Mathematics and Statistics Research,1(1),(2013),1-8.

[8] M.Abbas, M.Ali Khan and S.Radenovic, Common coupled fixed point theorems in cone metric spaces for w-compatible mappings, Appl.Math. Comput, 217, (2010), 195-202.

[9] M.Abbas,B.Fisher and T.Nazir,Well-posedness and peroidic point property of mappings satisfying a rational inequality in an ordrerd complex valued-metric spaces,Sci. Stud. Res., Ser. Math. Inform. 22(1),(2012),5-24.

[10] M.Abbas,M.Arshad and A.Azam,Fixed points of asympotically regular mappings in complex valued metric spaces, Georgian Math.J., 20, (2013), 213-221(2013):10.1515/gmj-2013-0013.

[11] M. Aamri, D.El. Moutawakil,Some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl., 27(1), (2002), 181U188.

[12] M.A.Kutbi,A.Azam,J.Ahmad, and C.Di Bari, Some common coupled fixed point results for generalized contraction in complex-valued metric spaces,J.Appl.Math.,2013,10 pages,ArticleID 352927.

[13] M.Kumar,P. Kumar and S. Kumar,Common fixed point theorems in complex valued metric spaces,J. Ana. Num. Theor. 2(2),(2014), 103-109 .

[14] N.Malhotra and B.Bansal,Some common coupled fixed point theorems for generalized contraction in b-metric spaces , J. Nonlinear Sci. Appl., 8, (2015), 8-16.

[15] N.Singh, D.Singh, A.Badal and V.Joshi, Fixed point theorems in complex valued metric spaces, Journal of the Egyptian Mathematical Society, (2015), 1-8 (In Press).

[16] R.K.Verma and H.K.Pathak,Common fixed point theorems for a pair of mappings in complex valued metric spaces,Journal of Mathematics and Computer Science, 6 (2013), 18-26.

[17] R.K.Verma and H.K.Pathak,Common fixed point theorems using property (E.A) in complex-valued metric spaces,Thai Journal of Mathematics,11(2),(2013),347U355.

[18] S.Chandok and D.Kumar,Some common fixed point results for rational type contraction mappings in complex valued metric spaces,Journal of Operators, 2013, 6 pages, Article ID 813707.

[19] S.M. Kang,Coupled fixed point theorems in complex valued metric spaces, Int. Journal of Math. Analysis,7(46), (2013), 2269 - 2277.

[20] T.G. Bhaskar and V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Analysis, 65(7),(2006), 1379 - 1393.

[21] T.Mitra ,A common coupled fixed point result in complex valued metric space for two mappings,International Journal of Current Research, 7(8),(2015),19555-19559.

[22] T.Mitra,A common coupled fixed point theorem in complex valued metric space for two mappings satisfying a rational inequality, International Journal of Scientific Research Engineering and Technology, 4(8), (2015), 831-835.

[23] T.Senthil Kumar and R.Jahir Hussain,Common coupled fixed point theorem for contractive type mappings in closed ball of complex valued metric spaces,Adv.Inequal.Appl.2014,1-7,2014:34.

[24] V. Lakshmikantham and Lj. Ciric, Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Analysis: Theory, Method. Appl., 70(12),(2009), 4341-4349.

[25] W.Sintunavarat and P.Kumam,Generalized common fixed point theorems in complex valued metric spaces and applications, J. Inequal. appl., 2012, 11 pages,Article ID 84.