【摘要】 利用梯度数引入梯度度量空间的概念,证明了一个梯度赋范线性空间可以诱导一个梯度度量空间.在完备的梯度度量空间框架下,给出了相应的Banach压缩映像原理,并且用实例说明了其合理性.更多还原

【Abstract】 In this paper,the concept of a gradual metric space is introduced based on the concept of gradual numbers.It is proved a gradual metric space can be induced by a gradual normed vector space.Also,the Banach contraction principle is presented in the framework of complete gradual metric spaces and an example is given to show the rationality of this principle.更多还原