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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