2015•Journal of Qinghai Normal UniversityRequires access

Properties of Continuous Mappings in Interval-Valued Metric Spaces

MA Xian-l

Abstract

Firstly,the definition of interval-valued metric spaces and some related basic conception in interval-valued metric space are given,such as ball-neighborhood,neighborhood,open sets and convergent sequence etc.Secondly,the conception of continuous mappings in interval-valued metric spaces is given,and then a set of equivalent relations of continuous mappings in this kind spaces are discussed.

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Key concepts: Metric space, Mathematics, Uniform continuity, Metric map, Interval (graph theory), Product metric, Injective metric space, Convex metric space