Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1709520 | Applied Mathematics Letters | 2011 | 4 Pages |
Abstract
Recently, Ayse Sonmez [A. Sonmez, On paracompactness in cone metric spaces, Appl. Math. Lett. 23 (2010) 494–497] proved that a cone metric space is paracompact when the underlying cone is normal. Also, very recently, Kieu Phuong Chi and Tran Van An [K.P. Chi, T. Van An, Dugundji’s theorem for cone metric spaces, Appl. Math. Lett. (2010) doi:10.1016/j.aml.2010.10.034] proved Dugundji’s extension theorem for the normal cone metric space. The aim of this paper is to prove this in the frame of the tvs-cone spaces in which the cone does not need to be normal. Examples are given to illustrate the results.
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Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Suzana Simić,