Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지
DOI QR코드

DOI QR Code

ON m-CONVEX SETS IN PRECONVEXITY SPACES

  • Min, Won-Keun (Department of Mathematics, Kangwon National University)
  • 투고 : 2010.09.03
  • 심사 : 2010.10.19
  • 발행 : 2011.01.30
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, we introduce the concepts of m-convex set, mcconvex function and $m^*c$-convex function. We study basic properties for m-convex sets and characterization for such functions.

키워드

참고문헌

  1. M. D. Guay, An introduction to preconvexity spaces, Acta Math. Hungar., Vol. 105 (2004), No. 3, 241-248. https://doi.org/10.1023/B:AMHU.0000049290.67473.2c
  2. W. K. Min, Some results on preconvexity spaces, Bull. Korean Math. Soc., Vol. (45) (2008), No. 1, 39-44. https://doi.org/10.4134/BKMS.2008.45.1.039
  3. S. A. Naimpally and B. D. Warrack, Proximity spaces, Cambridge University Press, (1970).