Convex Structures in Normed Spaces

Parvathy K S

doi:https://doi.org/10.14445/22315373/IJMTT-V47P517

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 47 | Number 2 | Year 2017 | Article Id. IJMTT-V47P517 | DOI : https://doi.org/10.14445/22315373/IJMTT-V47P517

Convex Structures in Normed Spaces

Parvathy K S

Abstract

A convexity on a nonempty set X is a collection C of subsets of X which is closed under intersection and union of sets totally ordered under inclusion.

Keywords

Convexity, interval Convexity, Normed spaces etc.

References

[1]. J John , V Mary Gleeta, ‘The forcing Monophonic Hull Number of a Graph” IJMTT Vol.3. 2012.
[2] Kesavan S. “Topics in Functional Analysis And Applications” John Wiley and Sons Ltd
[3]. Lay S. R. “Convex Sets and Applications” Dover Publications Ltd
[4]. Leonard Berkowitz “Convexity and Optimizations in Rn”
[5]. Limaye B. V “ Functional Analysis” New Age International Publishers
[6] M Changat ‘On Triangle Path Convexity inGraphs” Discrete Mathematics.206(1-3) 91-95,1999.
[7]. Parvathy K S “Studies on Convex Structures with Emphasis on Convexity in Graphs” PhD thesis.
[8]. Van de Vel “Theory of Convex Structures” North Holland.

Citation :

Parvathy K S, "Convex Structures in Normed Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 47, no. 2, pp. 137-141, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V47P517