SEMI-PRECONVEX SETS ON PRECONVEXITY SPACES

Title & Authors
SEMI-PRECONVEX SETS ON PRECONVEXITY SPACES
Min, Won-Keun;

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 $\small{s^*c}$-convex function. Finally, we characterize sc-convex functions, $\small{s^*}$-convex functions and semi-preconvex sets by using the co-convexity hull and the convexity hull.
Keywords
preconvexity;co-convex sets;convexity$\small{s^*c}$-convex function;sc-convex function;cosemi-preconvex sets;semi-preconvex sets;
Language
English
Cited by
1.
p-PRECONVEX SETS ON PRECONVEXITY SPACES,Min, Won-Keun;

호남수학학술지, 2008. vol.30. 3, pp.425-433
2.
β-PRECONVEX SETS ON PRECONVEXITY SPACES,Min, Won-Keun;

대한수학회논문집, 2010. vol.25. 1, pp.105-110
1.
ON PERMUTING 3-DERIVATIONS AND COMMUTATIVITY IN PRIME NEAR-RINGS, Communications of the Korean Mathematical Society, 2010, 25, 1, 1
2.
β-PRECONVEX SETS ON PRECONVEXITY SPACES, Communications of the Korean Mathematical Society, 2010, 25, 1, 105
3.
p-PRECONVEX SETS ON PRECONVEXITY SPACES, Honam Mathematical Journal, 2008, 30, 3, 425
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3.
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