| BEST APPROXIMATION THEOREM FOR SET-VALUED MAPPINGSWITHOUT CONVEX VELUES AND CONTINUITY |
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| 作者姓名： | 丁协平 何诣然 |
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| 作者单位： | Project supported by the Natural Science Foundation of Sichuan Education Committee，P. R.China1 Sichuan Normal University. ChenHdu 610066. P. R. China |
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| 摘 要： | I.Introduction'In1969,KyFanlIprovedthefollowingwell-knownresultsonbestapproximation.Theorem1.1LetXbeanonemptycompactconvexsubsetofalocallyconvextopologicalvectorspaceEandf:X~Ebeacontinuousmapping.TheneitherfhasafixedpointinX,orthereexistapointyo6XandacontinuousseminormponEsucllthat0
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| 收稿时间： | 30 January 1997 |
Best approximation theorem for set-valued mappings without convex velues and continuity |
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| Ding Xieping,He Yiran.BEST APPROXIMATION THEOREM FOR SET-VALUED MAPPINGSWITHOUT CONVEX VELUES AND CONTINUITY[J].Applied Mathematics and Mechanics(English Edition),1998,19(9):831-836. |
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| Authors: | Ding Xieping He Yiran |
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| Institution: | (1) Sichuan Normal University, 610066 Chengdu, P. R. China |
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| Abstract: | In this paper, a new concept of weakly ,convex graph for set-valued mappings is introduced and studied. By using the concept , some new coincidence, the bestapproximation and fixed point-theorems are obtained. |
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| Keywords: | best approximation coincidence fixed point topological vectorspace |
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