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p-PRECONVEX SETS ON PRECONVEXITY SPACES
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  • Journal title : Honam Mathematical Journal
  • Volume 30, Issue 3,  2008, pp.425-433
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2008.30.3.425
 Title & Authors
p-PRECONVEX SETS ON PRECONVEXITY SPACES
Min, Won-Keun;
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 Abstract
In this paper, we introduce the concept of p-preconvex sets on preconvexity spaces. We study some properties for p-preconvex sets by using the co-convexity hull and the convexity hull. Also we introduce and study the concepts of pc-convex function, -convex function, pI-convex function and -convex function.
 Keywords
p-proconvex sets;cop-proconvex sets;pc-convex function;-convex function;pI-convex function;-convex function;
 Language
English
 Cited by
 References
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M. O. Guay, An introduction to preconvexity spaces, Acta Math. Hungar., vol. 105 (2001), no 3, pp. 241-248.

2.
W. K. Min, Some results on preconvexity spaces, Bull. Korean Math. Soc., vol. 45 (2008), no 1, pp. 39-44. crossref(new window)

3.
W. K. Min, A note on preconvexity spaces, Honam Math. J., vol. 29(2007), no 4, 589-595. crossref(new window)

4.
W. K. Min, semi-preconvex sets on preconvexity spaces, Commun. Korean Math. Soc., voI.23(2008), no, 2, pp. 251-256. crossref(new window)

5.
W. K. Min, $\beta$-preconvex on preconvexity spaces, submitted.

6.
S. A. Naimpally and B. D. Warrack, Proximity spaces, Cambridge University Press (1970).