| ON THE NUMBER OF FIXED POINTS OF NONLINEAR OPERATORS AND APPLICATIONS |
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| 引用本文： | SUNJingxian ZHANGKemei. ON THE NUMBER OF FIXED POINTS OF NONLINEAR OPERATORS AND APPLICATIONS[J]. 系统科学与复杂性, 2003, 16(2): 229-235 |
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| 作者姓名： | SUNJingxian ZHANGKemei |
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| 作者单位： | [1]DepartmentofMathematics,XuzhouNormalUniversity,Xuzhou221116,China [2]DepartmentofMathematics,QufuNormalUniversity,Qufu273165,China |
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| 基金项目： | This research is supported by NSFC (10071042)，NSFSP (Z2000A02). |
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| 摘 要： | In this paper, the famous Amann three-solution theorem is generalized. Multiplicity question of fixed points for nonlinear operators via two coupled parallel sub-super solutions is studied. Under suitable conditions, the existence of at least six distinct fixed points of nonlinear operators is proved. The theoretical results are then applied to nonlinear system of Hammerstein integral equations.
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| 关 键 词： | 凸锥体 不动点指数理论 一致正算子 平行次级解答 非线性算子 哈默斯坦积分方程 |
ON THE NUMBER OF FIXED POINTS OF NONLINEAR OPERATORS AND APPLICATIONS |
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| SUN Jingxian. ON THE NUMBER OF FIXED POINTS OF NONLINEAR OPERATORS AND APPLICATIONS[J]. Journal of Systems Science and Complexity, 2003, 16(2): 229-235 |
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| Authors: | SUN Jingxian |
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| Abstract: | In this paper, the famous Amann three-solution theorem is generalized. Multiplicity question of fixed points for nonlinear operators via two coupled parallel sub-super solutions is studied. Under suitable conditions, the existence of at least six distinct fixed points of nonlinear operators is proved. The theoretical results are then applied to nonlinear system of Hammerstein integral equations. |
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| Keywords: | Cone fixed point index theory uniformly positive operator parallel sub- super solutions. |
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