G锥度量空间中广义c距离的不动点定理

Fixed point theorems on generalized c-distance in G-cone metric spaces

推广了Cho Yeol Je,Saadati Reza和Wang Shenghua的结果,引入了广义c距离的概念,并将广义c距离运用到G锥度量空间中来解决相关不动点问题.去掉了算子的连续性,锥的正规性等一系列附加条件,与以往传统方法相比,更具技巧性.

In this paper,we generalize the main results which are shown by Yeol Je Cho,Reza Saadati and Shenghua Wang,and present the concept of generalized c-distance. Subsequently,we will apply it into G-cone metric spaces to solve the relevant fixed point theorems,in the process,we omit the continuity of operators,normality of cone and so on. Compared to previous one,our method may be more perfect to a large extent.