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摘要: |
本文研究了对偶锥映像上的一些非线性问题.利用拓扑度理论和半序的方法,获得了对偶锥映像的锐角原理,Debrunner-Flor不等式和不动点定理的结果.推广了一般单调映像的锐角原理和Debrunner-Flor不等式的一些结果. |
关键词: 对偶锥映像 锐角原理 Debrunner-Flor不等式 不动点 |
DOI: |
分类号:O177.91 |
基金项目:国家自然科学基金资助(11601093). |
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PROBLEMS OF DUAL CONE MAPPING |
ZHANG Chuang-liang
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Abstract: |
In this paper, we study some nonlinear problems of dual cone mapping. By using topological degree theory and partial order methods, we get the results of the acute angle principle, Debrunner-Flor inequality and fixed point theorem for dual cone mapping. Some results in the document are improved and extended. |
Key words: dual cone mapping acute angle principle Debrunner-Flor inequality fixed point |