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SEMI-PRECONVEX SETS ON PRECONVEXITY SPACES
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 Title & Authors
SEMI-PRECONVEX SETS ON PRECONVEXITY SPACES
Min, Won-Keun;
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 Abstract
In this paper, we introduce the concept of the semi-preconvex set on preconvexity spaces. We study some properties for the semi-preconvex set. Also we introduce the concepts of the sc-convex function and -convex function. Finally, we characterize sc-convex functions, -convex functions and semi-preconvex sets by using the co-convexity hull and the convexity hull.
 Keywords
preconvexity;co-convex sets;convexity-convex function;sc-convex function;cosemi-preconvex sets;semi-preconvex sets;
 Language
English
 Cited by
1.
p-PRECONVEX SETS ON PRECONVEXITY SPACES,;

호남수학학술지, 2008. vol.30. 3, pp.425-433 crossref(new window)
2.
β-PRECONVEX SETS ON PRECONVEXITY SPACES,;

대한수학회논문집, 2010. vol.25. 1, pp.105-110 crossref(new window)
3.
STRONGLY C-CONVEX FUNCTIONS AND ALMOST C-CONVEX FUNCTIONS ON PRECONVEXITY SPACES,;

충청수학회지, 2010. vol.23. 3, pp.481-486
1.
ON PERMUTING 3-DERIVATIONS AND COMMUTATIVITY IN PRIME NEAR-RINGS, Communications of the Korean Mathematical Society, 2010, 25, 1, 1  crossref(new windwow)
2.
β-PRECONVEX SETS ON PRECONVEXITY SPACES, Communications of the Korean Mathematical Society, 2010, 25, 1, 105  crossref(new windwow)
3.
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. 105 (2004), no. 3, 241-248 crossref(new window)

2.
W. K. Min, Some results on preconvexity spaces, Bull. Korean Math. Soc. 45 (2008), no. 1, 39-44 crossref(new window)

3.
W. K. Min, A note on preconvexity spaces, Honam Math. J. 29 (2007), no. 4, 589-595 crossref(new window)

4.
S. A. Naimpally and B. D.Warrack, Proximity spaces, Cambridge University Press (1970)