| 全连续弱内向映象的不动点指数及多重不动点定理 |
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| 引用本文： | 韩志清.全连续弱内向映象的不动点指数及多重不动点定理[J].系统科学与数学,1998,18(2):230-233. |
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| 作者姓名： | 韩志清 |
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| 作者单位： | 大连理工大学应用数学系!大连，116023 |
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| 摘 要： | 本文通过研究与全连续弱内向映象相应的Banach空间中凸闭集上常微分方程解的性质，定义了有界凸闭集上局部Lip.全连续弱内向映象的不动点指数并利用它给出了一个弱内向映象的三解定理．
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| 关 键 词： | 全连续弱内向映象 严格集压缩映象 Banach空间微分方程 不动点 |
FIXED POINT INDEX AND MULTIPLE FIXED POINT THEOREM FOR WEAKLY INWXRD MAPS |
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| Han Zhiqins.FIXED POINT INDEX AND MULTIPLE FIXED POINT THEOREM FOR WEAKLY INWXRD MAPS[J].Journal of Systems Science and Mathematical Sciences,1998,18(2):230-233. |
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| Authors: | Han Zhiqins |
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| Institution: | (Department of Applied Mathematics, Dalian University of Technology, Dalian 116023) |
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| Abstract: | By investigating the corresponding ODEs in Banach spaces of the completelycontinuous weakly inward maps, we give a fixed point index theory for locally Lip. completelycontinuous and weakly inward maps defined on a closed bounded convex set. Finallyl a threefixed point theorem about these maps is given. |
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| Keywords: | Completely continuous weakly inward maps strict contractions ODEs inBanach space fixed points |
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