乘积度量空间上具有唯一不动点的G - 隐式压缩映射

通过定义一个四元实函数类G并在乘积度量空间上引进G - 隐式压缩映射的概念,得到了在完备乘积度量空间上任何满足G- 隐式压缩条件的映射具有唯一不动点的定理,并由该定理推导出2个C^'iric^' 型不动点定理.最后,通过两个实例验证了所得结果的正确性.

G-implicit contractive mappings having an unique fixed point on multiplicative metric spaces

In this paper, by defining a class G of 4 - dimensional real functions and introducing the concept of G - implicit contractive mappings on multiplicative metric spaces, we obtain one theorem having an unique fixed point for any mappings satisfying G - implicit contractive conditions on complete multiplicative metric spaces and give two C^'iric^' type fixed point theorems as corollaries of the theorem. Finally, we give two examples to verify the correctness of the given results.