| SET-VALUED EXTENSION OF OPERATORS VIA STEINER SELECTIONS (Ⅰ)-THEORETICAL RESULTS |
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| 引用本文： | Tern,Pedro,L pez_Dían,Miguel.SET-VALUED EXTENSION OF OPERATORS VIA STEINER SELECTIONS (Ⅰ)-THEORETICAL RESULTS[J].应用数学和力学(英文版),2002,23(5). |
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| 作者姓名： | Tern Pedro L pez_Dían Miguel |
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| 作者单位： | Tern，Pedro，L pez_Dían，Miguel (Facultad de Ciencias，Universidad de Oviedo，C/Calvo Sotelo，s/n 33007 Oviedo Spain) (Communicated by ZHANG Shi_sheng) |
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| 基金项目： | theSpanishFPIGrant ( 98_71701353)，theDGESGrant (PB98_1 53 4)，theDGESICGrant(PB97_1 2 86) |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｍａｉｎｔｏｐｉｃｉｎｔｈｉｓｐａｐｅｒｉｓ:Ｈｏｗｃａｎｏｎｅｅｘｔｅｎｄａｎｏｐｅｒａｔｏｒｄｅｆｉｎｅｄｉｎａｓｐａｃｅｏｆｃｏｎｔｉｎｕｏｕｓｆｕｎｃｔｉｏｎｓｔｏａｎｏｐｅｒａｔｏｒｄｅｆｉｎｅｄｉｎａｓｐａｃｅｏｆｃｏｎｔｉｎｕｏｕｓｓｅｔ＿ｖａｌｕｅｄｆｕｎｃｔｉｏｎｓ,ｖｉａｓｅｌｅｃｔｉｏｎｓ?Ａｆｉｒｓｔ,ｎａｉｖｅｉｄｅａｃｏｕｌｄｂｅｔｈｅｆｏｌｌｏｗｉｎｇ :ＧｉｖｅｎａＰｏｌｉｓｈｓｐａｃｅＥ ,ｌｅｔＸｂｅａｃｏｎｔｉｎｕｏｕｓｆｕｎｃｔｉｏｎ…
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SET-VALUED EXTENSION OF OPERATORS VIA STEINER SELECTIONS (Ⅰ)-THEORETICAL RESULTS |
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| Tern Pedro,Lpez-Dan Miguel.SET-VALUED EXTENSION OF OPERATORS VIA STEINER SELECTIONS (Ⅰ)-THEORETICAL RESULTS[J].Applied Mathematics and Mechanics(English Edition),2002,23(5). |
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| Authors: | Tern Pedro Lpez-Dan Miguel |
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| Institution: | Facultad de Ciencias, Universidad de Oviedo, C/Calvo Sotelo,s/n 33007 Oviedo Spain |
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| Abstract: | A way to extend operators in spaces of continuous functions to spaces ofcontinuous set-valued functions is proposed. This extension is developed through the Steinerselections of the set-valued functions. Their properties and characteristics of theconvergence of sequences of operators of this class are studied. In Part Ⅱ of this seriessome applications to approximation theory will be shown. |
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| Keywords: | set_valued extension steiner selection operator |
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