| 集值凝聚映射的多重不动点定理 |
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| 引用本文： | 刘威九.集值凝聚映射的多重不动点定理[J].电工标准与质量,1991(1). |
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| 作者姓名： | 刘威九 |
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| 作者单位： | 长沙水电师院数学系 |
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| 摘 要： | 本文主要结果:设向量泛函(x)和(x)分别是 F 上实连续凹凸泛函,(tx)对每个 x∈F 关于 t 在0,+∞)上严格单调且(θ)<,(θ)≥.又设=(a_1,a_2,…,a_n)>,(θ)<=(d_1,d_2,…d_n)<.设集值映射是凝聚的且下列条件满足:(1)若.则(2)令.存在 i_0,j_0使得 d_i_0≤r_i_0j_0;(3)若对某个β_j(x)=d_j,λ≥1,有λxTx;(4){x∈F|存在1≤j≤m 使得:(5)若,对某个β_j(x)=0,λ≥1,有λxTx.那么 T 三个不动点.
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| 关 键 词： | 集值凝聚映射 收缩映射 不动点定理 |
MULTIPLE FIXED POINT THEOREMS FOR MULTIVALUED CONDENSING MAPS |
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| Liu Weijiu.MULTIPLE FIXED POINT THEOREMS FOR MULTIVALUED CONDENSING MAPS[J].Journal of Changsha University of Electric Power(Natural Science Edition),1991(1). |
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| Authors: | Liu Weijiu |
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| Affiliation: | Mathematics Department |
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| Abstract: | In this paper,the multiple fixed point theorems for multivalued condensing maps are obtained by utilizing the fixed point index theory for multivalued condensing maps on the closed and convex set in Banach Spaces and Concave Convex functionals. |
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| Keywords: | multivalued condensing mapping contractive mapping fixed point theorem |
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