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초록
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 s*c-convex function. Finally, we characterize sc-convex functions, s*-convex functions and semi-preconvex sets by using the co-convexity hull and the convexity hull. ©2008 The Korean Mathematical Society.
키워드
Co-convex sets; Convexity; Cosemi-preconvex sets; Preconvexity; s*c-convex function; sc-convex function; Semi-preconvex sets
- 제목
- Semi-preconvex sets on preconvexity spaces
- 저자
- Min, Won-keun
- 발행일
- 2008
- 유형
- Article
- 저널명
- 대한수학회논문집
- 권
- 23
- 호
- 2
- 페이지
- 251 ~ 256