| 一类序Lipschitz算子的不动点定理 |
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| 引用本文： | 刘文军,孟京华.一类序Lipschitz算子的不动点定理[J].高师理科学刊,2014(4):15-16. |
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| 作者姓名： | 刘文军 孟京华 |
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| 作者单位： | 九江学院理学院; |
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| 基金项目： | 江西省高等学校教学改革研究课题(JXJG-12-17-1) |
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| 摘 要： | 在Banach空间中研究非线性算子的不动点问题,给出了一类只具有下解(或上解)的序Lipschitz算子概念,讨论了这类非紧且非单调算子的不动点的存在性,运用锥理论得到了一个有关此类算子的不动点定理.
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| 关 键 词： | 非线性算子 序Lipschitz算子 不动点 锥 |
The fixed point theorem for a class of order Lipschitz operator |
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| LIU Wen-jun,MENG Jing-hua.The fixed point theorem for a class of order Lipschitz operator[J].Journal of Science of Teachers＇College and University,2014(4):15-16. |
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| Authors: | LIU Wen-jun MENG Jing-hua |
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| Institution: | ( School of Science, Jiujiao_g University, Jiujiang 332000, China ) |
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| Abstract: | In Banach space,the problems of fixed point for nonlinear operator was studied.Gave the difinition of order Lipschitz operator with only lower solution or upper solution,discussed the existence of fixed point for this operator which is not monotone or compact.Using the cone theory,obtained the fixed point theorem for this operator. |
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| Keywords: | nonlinear operator order Lipschitz operator fixed point cone |
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