Mukheimer Aiman A
Department of Mathematical Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia.
ScientificWorldJournal. 2014;2014:587825. doi: 10.1155/2014/587825. Epub 2014 May 25.
Azam et al. (2011), introduce the notion of complex valued metric spaces and obtained common fixed point result for mappings in the context of complex valued metric spaces. Rao et al. (2013) introduce the notion of complex valued b-metric spaces. In this paper, we generalize the results of Azam et al. (2011), and Bhatt et al. (2011), by improving the conditions of contraction to establish the existence and uniqueness of common fixed point for two self-mappings on complex valued b-metric spaces. Some examples are given to illustrate the main results.
阿扎姆等人(2011年)引入了复值度量空间的概念,并在复值度量空间的背景下获得了映射的公共不动点结果。拉奥等人(2013年)引入了复值b - 度量空间的概念。在本文中,我们通过改进收缩条件来推广阿扎姆等人(2011年)以及巴特等人(2011年)的结果,以建立复值b - 度量空间上两个自映射公共不动点的存在性和唯一性。给出了一些例子来说明主要结果。