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β-PRECONVEX SETS ON PRECONVEXITY SPACES

민원근
대한수학회 (The Korean Mathematical Society)|2010.01|대한수학회논문집 (Communications of the KMS)|제25권 제1호|pp. 105-110

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참고문헌

키워드

convexitypreconvexityco-convex setsβ*c-convex functionβcconvex functioncoβ-preconvex setsβ-preconvex sets.
주제분류수학

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.

Abstract

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.

참고문헌 (5)

  1. M. D. Guay, "An introduction to preconvexity spaces", Acta Math. Hungar., 105(3), pp.241~248 (2004)
  2. 민원근, "Some results on preconvexity spaces", 대한수학회보, 45(1), pp.39~44 (2008), 대한수학회
  3. Won Keun Min, "A Note on Preconvexity Spaces", 호남수학학술지, 29(4), pp.589~595 (2007), 호남수학회
  4. 민원근, "Semi-preconvex sets on preconvexity spaces", 대한수학회논문집, 23(2), pp.251~256 (2008), 대한수학회
  5. S. A. Naimpally, "Proximity Spaces" (1970), Cambridge University Press

관련 논문AI추천

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