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Some results on preconvexity spaces

민원근
대한수학회 (The Korean Mathematical Society)|2008.02|대한수학회보 (Bulletin of the KMS)|제45권 제1호|pp. 39-44

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참고문헌

키워드

preconvexitypreconvex neighborhoodc-concave function
주제분류수학

초록

In this paper, we introduce the concepts of preconvexity neighborhoods, c-concave functions. We study some properties for c- convex functions, and characterize c-convex functions and c-concave functions by using the preconvexity neighborhoods

Abstract

In this paper, we introduce the concepts of preconvexity neighborhoods, c-concave functions. We study some properties for c- convex functions, and characterize c-convex functions and c-concave functions by using the preconvexity neighborhoods

참고문헌 (4)

  1. M. D. Guay, "Introduction to the theory of convexity-topological spaces, Topology, Vol. II (Proc. Fourth Colloq., Budapest, 1978)", Colloquia Mathematica Societatis Janos Bolyai, 23, pp.521~545 (1980)
  2. M. D. Guay, "An introduction to preconvexity spaces", Acta Mathematica Hungarica, 105(3), pp.241~248 (2004)
  3. D. C. Kay, "Axiomatic convexity theory and relationships between the Carath´eodory, Helly, and Radon numbers", Pacific Journal of Mathematics, 38, pp.471~485 (1971)
  4. S. A. Naimpally, "Proximity Spaces, Cambridge Tracts in Mathematics and Mathematical Physics, No. 59" (1970), Cambridge University Press

관련 논문AI추천

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