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A NOTE ON PRECONVEXITY SPACES
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  • Journal title : Honam Mathematical Journal
  • Volume 29, Issue 4,  2007, pp.589-595
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2007.29.4.589
 Title & Authors
A NOTE ON PRECONVEXITY SPACES
Min, Won-Keun;
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 Abstract
In this paper, we introduce the concepts of the convexity hull and co-convex sets on preconvexity spaces. We study some properties for the co-convexity hull and characterize c-convex functions and c-concave functions by using the co-convexity hull and the convexity hull.
 Keywords
preconvexity;co-convex sets;co-convexity hull;c-convex function;c-concave function;
 Language
English
 Cited by
1.
β-PRECONVEX SETS ON PRECONVEXITY SPACES,;

대한수학회논문집, 2010. vol.25. 1, pp.105-110 crossref(new window)
2.
STRONGLY C-CONVEX FUNCTIONS AND ALMOST C-CONVEX FUNCTIONS ON PRECONVEXITY SPACES,;

충청수학회지, 2010. vol.23. 3, pp.481-486
1.
p-PRECONVEX SETS ON PRECONVEXITY SPACES, Honam Mathematical Journal, 2008, 30, 3, 425  crossref(new windwow)
 References
1.
M. D. Guay, An introduction to preconvexity spaces, Acta Math. Hungar., vol. 105 (3)(2004), pp. 241-248. crossref(new window)

2.
W. K. Min, Some results on preconvexity spaces, (submitted).

3.
S. A. Naimpally and B. D. Warrack, Proximity spaces, Cambridge University Press (1970).