DOI QR코드

DOI QR Code

SOME RESULTS ON PRECONVEXITY SPACES

Min, Won-Keun

  • 발행 : 2008.02.29

초록

In this paper, we introduce the concepts of pre convexity 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.

키워드

preconvexity;preconvex neighborhood;c-concave function

참고문헌

  1. M. D. Guay, Introduction to the theory of convexity-topological spaces, Topology, Vol. II (Proc. Fourth Colloq., Budapest, 1978), pp. 521-545, Colloq. Math. Soc. Janos Bolyai, 23, North-Holland, Amsterdam-New York, 1980
  2. M. D. Guay, An introduction to preconvexity spaces, Acta Math. Hungar. 105 (2004), no. 3, 241-248 https://doi.org/10.1023/B:AMHU.0000049290.67473.2c
  3. D. C. Kay and E. W. Womble, Axiomatic convexity theory and relationships between the Caratheodory, Helly, and Radon numbers, Pacific J. Math. 38 (1971), 471-485 https://doi.org/10.2140/pjm.1971.38.471
  4. S. A. Naimpally and B. D.Warrack, Proximity Spaces, Cambridge Tracts in Mathematics and Mathematical Physics, No. 59 Cambridge University Press, London-New York, 1970

피인용 문헌

  1. β-PRECONVEX SETS ON PRECONVEXITY SPACES vol.25, pp.1, 2010, https://doi.org/10.4134/BKMS.2008.45.1.039
  2. ON PERMUTING 3-DERIVATIONS AND COMMUTATIVITY IN PRIME NEAR-RINGS vol.25, pp.1, 2010, https://doi.org/10.4134/BKMS.2008.45.1.039
  3. p-PRECONVEX SETS ON PRECONVEXITY SPACES vol.30, pp.3, 2008, https://doi.org/10.4134/BKMS.2008.45.1.039