| A fixed point theorem for a class of β-constrictive operators and its application to the integral equation in L~1(0,∞) |
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| 作者姓名： | 吴从忻 刘笑颖 |
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| 作者单位： | Dept. of Mathematics，Harbin Institute of Technology，Harbin 150001，China |
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| 基金项目： | NationalNaturalScienceFoundationofChina(GrantNo .199710 19) |
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| 摘 要： | 0 ＩＮＴＲＯＤＵＣＴＩＯＮＩｎ 1977,Ｆ .Ｓ .ＤｅＢｌａｓｉ[1] ｄｅｆｉｎｅｄｔｈｅｍｅａｓｕｒｅｏｆｗｅａｋｎｏｎｃｏｍｐａｃｔｎｅｓｓｆｏｒａｎｏｎｅｍｐｔｙｂｏｕｎｄｅｄｓｕｂｓｅｔＧｏｆａＢａｎａｃｈｓｐａｃｅＥａｓｆｏｌｌｏｗ :β(Ｇ) =ｉｎｆ {ｒ>0｜ｔｈｅｒｅｅｘｉｓｔｓａｗｅａｋｌｙｃｏｍｐａｃｔｓｅｔＣｓｕｃｈｔｈａｔＧ Ｃ+Ｂｒ}ｗｈｅｒｅＢｒ ={ｘ ∈Ｅ｜‖ｘ‖ ≤ｒ} ,ａｎｄｄｉｓｃｕｓｓｅｄｉｔｓｐｒｏｐｅｒｔｉｅｓｉｎｄｅｔａｉｌ .Ｉｎ 1981,ｂｙｍｅａｎｓｏｆｍｅａｓｕｒｅｓｏ…
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