不动泛系定理的某些新结果*
Some New Results about Fixed Pansystems Theorems
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摘要: 本文讨论了复补算子的不动泛系定理,给出了泛浑沌与泛怪引子的存在条件,进而利用所得结果证明一些关于多值映射的不动点定理,后者补充与发展了Kakutani的结果.Abstract: In this paper the fixed pansy stems theorems concerning the composition-complement-operators are discussed. Some existence conditions of panchaos and strange panat tractor are given. And using the results, some fixed point theorems for many-valued mappings are also proved, which complement and develop the results obtained by Kakutani.
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Key words:
- Corhposition-complement operator /
- panchaos /
- strange panattractor
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[1] 覃国光,稳定性与浑沌的一些泛系研究,科学探索学报,(3) (1986), [2] 覃国光,不动泛系定理及其应用,科学探索学报,(3) (1986). [3] Wu Xue-mou,Pansystems methodology and nonlinear analysis:new study of bifurcation,catastrophe,chaos and stability,Procedings of the 1985 International Conference on Nonlinear Mechanics(1985). [4] Wu Xue-mou,Pansystems methodology:concept,theorems and applications(I)——(Ⅷ),Science Exploration,1,2,4(1982),1,4(1983),1,4(1984),1(1985).(in English) [5] Wu Xue-mou,Pansystems methodology and its applications:cybernetics,epitemology,shengkeology and sociology,Science Exploration,3(1986). [6] Liu Huai-jun,Some problems in pansystems approximation theory,Approximation,Optimization and Computing:Theory and Applications,Elsevier/North Holland,Amsterdam(1990). -
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