Fixed point theorems in complex valued metric spaces

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 expressions 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