The present work considers the endpoint in the abstract metric space. It firstly introduces the metric space of partially ordered groups and the metric space of partially ordered modules, respectively;and defines the ...The present work considers the endpoint in the abstract metric space. It firstly introduces the metric space of partially ordered groups and the metric space of partially ordered modules, respectively;and defines the convergence of sequences and the multi-valued weak contractions, etc., on the introduced space. And then, with the methods of functional analysis and abstract algebra, it successively establishes an endpoint theorem for the metric space of partially ordered groups and an endpoint theorem for the metric space of partially ordered modules. The contributions of this article extend the theory of cone metric space constructed by Huang and Zhang (2007) and some recent results on the fixed point and endpoint theory, such as the endpoint theorem given by Amini-Harandi (2010).展开更多
The confrontation between the disadvantaged and advantaged groups is eternal throughout the competition for survival. But the human spiritual world has its humane aspect in addition to competition. The concern for and...The confrontation between the disadvantaged and advantaged groups is eternal throughout the competition for survival. But the human spiritual world has its humane aspect in addition to competition. The concern for and protection of the disadvantaged group is the moral law characteristic of humanity, just as the Universal Declaration of Human Rights says in its Article 1： ＂All human beings are born free and equal in dignity and rights.展开更多
文摘The present work considers the endpoint in the abstract metric space. It firstly introduces the metric space of partially ordered groups and the metric space of partially ordered modules, respectively;and defines the convergence of sequences and the multi-valued weak contractions, etc., on the introduced space. And then, with the methods of functional analysis and abstract algebra, it successively establishes an endpoint theorem for the metric space of partially ordered groups and an endpoint theorem for the metric space of partially ordered modules. The contributions of this article extend the theory of cone metric space constructed by Huang and Zhang (2007) and some recent results on the fixed point and endpoint theory, such as the endpoint theorem given by Amini-Harandi (2010).
文摘The confrontation between the disadvantaged and advantaged groups is eternal throughout the competition for survival. But the human spiritual world has its humane aspect in addition to competition. The concern for and protection of the disadvantaged group is the moral law characteristic of humanity, just as the Universal Declaration of Human Rights says in its Article 1： ＂All human beings are born free and equal in dignity and rights.
