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http://dx.doi.org/10.14403/jcms.2010.23.3.481

STRONGLY C-CONVEX FUNCTIONS AND ALMOST C-CONVEX FUNCTIONS ON PRECONVEXITY SPACES  

Min, Won Keun (Department of Mathematics Kangwon National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.23, no.3, 2010 , pp. 481-486 More about this Journal
Abstract
In this paper, we introduce the concepts of strongly c-convex( strongly c-concave) function, almost c-convex function on preconvex spaces. We investigate the relationships between such concepts and several types of preconvex sets.
Keywords
preconvexity; co-convex sets; convex sets; strongly c-convex; regular convex set; almost c-convex;
Citations & Related Records
Times Cited By KSCI : 5  (Citation Analysis)
연도 인용수 순위
1 M. D. Guay, An introduction to preconvexity spaces, Acta Math. Hungar. 105 (2004), no. 3, 241-248.   DOI
2 W. K. Min, A Note on preconvexity spaces, Honam Mathmatical Journal, 29 (2007), no. 4, 589-595.   DOI   ScienceOn
3 W. K. Min, Some results on preconvexity spaces, Bull. Korean Math. Soc. 45 (2008), no. 1, 39-41.   과학기술학회마을   DOI   ScienceOn
4 W. K. Min, $\rho$-Preconvex set on preconvexity spaces, Honam Mathmatical Journal 30 (2008), no. 3, 589-595.   DOI
5 W. K. Min, Semi-preconvex set on preconvexity spaces, Commun. Korean Math. Soc. 23 (2008), no. 2, 251-256.   과학기술학회마을   DOI   ScienceOn
6 W. K. Min, $\alpha$-preconvex set on preconvexity spaces, Korean Annals of Mathematics 26 (2009), no 1-2, 5-11.
7 W. K. Min, $\beta$-preconvex set on preconvexity spaces, Commun. Korean Math. Soc. 25 (2010), no. 1, 105-110.   DOI   ScienceOn
8 S. A. Naimpally and B. D. Warrack, Proximity spaces, Cambridge University Press, 1970.