Characterizations of Rotundities of Normed Spaces by Means of Their d - Properties
Journal Title: Galore International Journal of Applied Sciences and Humanities - Year 2017, Vol 1, Issue 2
Abstract
The notion of d-property has been defined by the authors Sankar Raj V. and Eldred A. A. Inspired by it, we define three other new notions called; LUR d-property, UR d- property, and URED d-property. We use these notions in the characterizations of rotund spaces, locally uniformly rotund spaces, uniformly rotund spaces, and normed spaces that are uniformly rotund in every direction respectively. We use the characterizations of these rotundities to prove the best proximity point theorems of various contraction mappings.
Authors and Affiliations
Gaj Ram Damai
Keywords
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