Browse > Article
http://dx.doi.org/10.14403/jcms.2010.23.2.223

ON WEAK M-SEMICONTINUITY ON SPACES WITH MINIMAL STRUCTURES  

Min, Won Keun (Department of Mathematics Kangwon National University)
Kim, Young Key (Department of Mathematics MyongJi University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.23, no.2, 2010 , pp. 223-229 More about this Journal
Abstract
We introduce the notion of weak M-semicontinuity which is a generalization of M-semicontinuity defined between spaces with minimal structures. We also investigate some properties and characterizations for such a notion.
Keywords
weakly M-semicontinuous; M-semicontinuous; M-continuous; strongly M-semiclosed graph; m-Urysohn; m-semi-$T_2$;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 P. Monk, An iterative finite element method for approximating the biharmonic equation, Math. Comp. 151 (1988), 451-476.
2 N. Levine, Semi-open sets and semi-continuity in topological spaces, Ams. Math. Monthly, 70 (1963), 36-41.   DOI   ScienceOn
3 W. K. Min, m-Semiopen Sets and M-Semicontinuous Functions On Spaces With Minimal Structures, Honam Mathematical Journal, 31, 2009, no. 2, 239-245.   DOI   ScienceOn
4 W. K. Min, On Minimal Semicontinuous Functions, submitted.
5 V. Popa and T. Noiri, On M-continuous functions, Anal, Univ. "Dunarea de Jos" Galati, Ser. Mat. Fiz. Mec. Teor., Fasc. II, 18 (2000), no. 23, 31-41.
6 V. Popa and T. Noiri, On the definition of some generalized forms of continuity under minimal conditions, Mem. Fac. Sci. Kochi. Univ. Ser. Math. 22 (2001), 9-19.
7 V. Popa and T. Noiri, On weakly (${\tau}$, m)-continuous functions, Rendiconti Del Circolo Matematico Di Palermo Serie II. Tomo LI, (2002), 295-316.