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초록
In this paper, we introduce the concept of β-preconvex sets on preconvexity spaces. We study some properties for β-preconvex sets by using the co-convexity hull and the convexity hull. Also we introduce and study the concepts of βc-convex function and β*c-convex function. © 2010 The Korean Mathematical Society.
키워드
β*c-convex function; β-preconvex sets; βc-convex function; Coβ-preconvex sets; Co-convex sets; Convexity; Preconvexity
- 제목
- β-Preconvex sets on preconvexity spaces
- 저자
- Min, Won-keun
- 발행일
- 2010
- 유형
- Article
- 저널명
- 대한수학회논문집
- 권
- 25
- 호
- 1
- 페이지
- 105 ~ 110