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http://dx.doi.org/10.14317/jami.2011.29.1_2.517

ON m-CONVEX SETS IN PRECONVEXITY SPACES  

Min, Won-Keun (Department of Mathematics, Kangwon National University)
Publication Information
Journal of applied mathematics & informatics / v.29, no.1_2, 2011 , pp. 517-521 More about this Journal
Abstract
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.
Keywords
preconvexity; c-convex function; m-convex set; mc-convex function; $mc^*$-convex function;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 W. K. Min, Some results on preconvexity spaces, Bull. Korean Math. Soc., Vol. (45) (2008), No. 1, 39-44.   DOI
2 S. A. Naimpally and B. D. Warrack, Proximity spaces, Cambridge University Press, (1970).
3 M. D. Guay, An introduction to preconvexity spaces, Acta Math. Hungar., Vol. 105 (2004), No. 3, 241-248.   DOI