Geodesic
Common fixed point theorems under rational contractions in complex valued metric spaces :
Nashine, H. K. 1   ; Imdad, M. 2   ; Hasan, M. 2
1 Department of Mathematics, Disha Institute of Management and Technology, Raipur-492101(Chhattisgarh), India
2 Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 1, p. 42-50 Cet article a éte moissonné depuis la source International Scientific Research Publications

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In this paper, we prove some common fixed point theorems for a pair of mappings satisfying certain rational contractions in the frame work of complex valued metric besides discussing consequences of our main results. To illustrate our results and to distinguish them from the existing ones, we equip the paper with suitable examples.

DOI : 10.22436/jnsa.007.01.05
Classification : 54H25, 47H10
Keywords: Common fixed point, contractive type mapping, complex valued metric space.

Nashine, H. K.  1   ; Imdad, M.  2   ; Hasan, M.  2

1 Department of Mathematics, Disha Institute of Management and Technology, Raipur-492101(Chhattisgarh), India
2 Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India 
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Nashine, H. K.; Imdad, M.; Hasan, M. Common fixed point theorems under rational  contractions in complex valued metric spaces. Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 1, p. 42-50. doi: 10.22436/jnsa.007.01.05

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

[7] Sintunavarat, W.; Kumam, P. Generalized common fixed point theorems in complex valued metric spaces and applications, J. Inequalities Appl., Volume 2012 (2012), pp. 1-11

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