Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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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)
  • Received : 2009.12.24
  • Accepted : 2010.04.23
  • Published : 2010.06.30
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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

References

  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. https://doi.org/10.2307/2312781
  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. https://doi.org/10.5831/HMJ.2009.31.2.239
  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.