Fixed point theorems in complex valued metric spaces
Singh, N., Singh, D., Badal, A., Joshi, V. (2016). Fixed point theorems in complex valued metric spaces. EKB Journal Management System, 24(3), 402-409. doi: 10.1016/j.joems.2015.04.005
Naval Singh; Deepak Singh; Anil Badal; Vishal Joshi. "Fixed point theorems in complex valued metric spaces". EKB Journal Management System, 24, 3, 2016, 402-409. doi: 10.1016/j.joems.2015.04.005
Singh, N., Singh, D., Badal, A., Joshi, V. (2016). 'Fixed point theorems in complex valued metric spaces', EKB Journal Management System, 24(3), pp. 402-409. doi: 10.1016/j.joems.2015.04.005
Singh, N., Singh, D., Badal, A., Joshi, V. Fixed point theorems in complex valued metric spaces. EKB Journal Management System, 2016; 24(3): 402-409. doi: 10.1016/j.joems.2015.04.005

Fixed point theorems in complex valued metric spaces

Journal of the Egyptian Mathematical Society
Volume 24, Issue 3, 2016, Pages 402-409    PDF (419.08 K)
DOI: 10.1016/j.joems.2015.04.005
Authors
Naval Singh1; Deepak Singh2; Anil Badal3; Vishal Joshi4
1Govt. Science and Commerce College, Benazeer, Bhopal, Madhya Pradesh, India
2Department of Applied Sciences, NITTTR, Ministry of HRD, Govt. of India, Bhopal, Madhya Pradesh 462002, India
3Department of Mathematics, Barkatullah University, Bhopal, Madhya Pradesh, India
4Department of Mathematics, Jabalpur Engineering College, Jabalpur, Madhya Pradesh, India
Abstract
The aim of this paper is to establish and prove several results on common fixed point
for a pair of mappings satisfying more general contraction conditions portrayed by rational expres-
sions having point-dependent control functions as coefficients in complex valued metric spaces. Our
results generalize and extend the results of Azam et al. (2011) [1], Sintunavarat and Kumam (2012)
[2], Rouzkard and Imdad (2012) [3], Sitthikul and Saejung (2012) [4] and Dass and Gupta (1975)
[5]. To substantiate the authenticity of our results and to distinguish them from existing ones, some
illustrative examples are also furnished.
Keywords
Common fixed point; Complex valued metric spaces; Complete complex valued metric spaces; Cauchy sequence; Fixed point
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