A noncompactness measure for tvs-metric cone spaces and some applications

作者：Fierro Raul^*

来源：Journal of Nonlinear Sciences and Applications, 2016, 9(5): 2680-2687.

DOI：10.22436/jnsa.009.05.64

• Approximate and fixed points
• noncompactness measure
• uniform spaces
• set-valued mapping
• tvs-cone metric space

We provide a natural topology for a cone metric space and a noncompactness measure is defined for this space, which enables us to extend existing results for mappings and set-valued mappings defined on classical metric spaces. Moreover it is proved that the topology of any uniform topological space is generated by a cone metric.

• 出版日期2016