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集值映射的微连续性和拟连续性 被引量:6

Star-somewhatcontinuity and Star-quasi-continuity of Multifunctions
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摘要 本文首先研究了连续、拟连续、微连续的等价条件和相互关系,最后得到了乘积空间中的集值映射成为拟连续和微连续的条件。 In this paper.we introduce definition of Star-somewhat continuity and star-quasicontinuity.of multifunctions.investigate the relations among star-continuity,star-quasicontinuity and star-somewhatcontinuity,On the other hand,we give some results ofmultifunction in product space.
作者 李祖泉
出处 《黑龙江大学自然科学学报》 CAS 1995年第4期25-27,共3页 Journal of Natural Science of Heilongjiang University
关键词 拟*连续 微*连续 集值映射 Star-continuity Star-quasicontinuity star-some what continuity Baire space
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同被引文献10

  • 1傅沛仁.集值映射空间的收敛与邻近结构[J].数学研究与评论,1982,2:21-30.
  • 2[1]Hughes B, Hoyle, Ⅲ, Greensboro. Function Spaces for Somewhat Continuous Functions [J].Czechoslovak Mathematical Journal, 1971,21 (96): 31~34.
  • 3[3]Tibor Neubrunn. On Blumberg Sets for Multifunctions[J]. Bulletin de L'academie Polonaise des sciences,1982,15(3-4):109~113.
  • 4[4]Smithson R E. Uniform Convergence for Multifunctions[J]. Pacific Journal of Mathematics, 1971,39(1):253~259.
  • 5[5]Somashekhar Amrith Naimpally Pareek. Graph Topologies for Function Spaces Ⅱ [J]. Comment. Math.Proc., 1970,13(2):221~231.
  • 6LIN Y F, DAVID A ROSE. Ascoli Theorem For Spaces of Multifunctions[ J]. Pacific Journal of Math, 1970,34:741 -747.
  • 7GEOFFREY FOX, PEDRO MORALES. Non -Hausdoff Muhifunction Generalization of the Kelley -Morse Ascoli Theorem[ J ]. Pacific Journal of Math,1976, 64:137-143.
  • 8ENGELKING R. General Topology [ M ]. Warsaw : PWN, 1977.
  • 9SMITHSON R E. Uniform convergence for Muhifunctions[ J ]. Pacific Journal of Math, 1971,39: 253 -260.
  • 10Pervin, W.J. Quasi-uniformation of topological space[J]. Math. Ann. Vol 147(1962): 316-317.

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