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弱序列连续的半闭1-集压缩映射的新不动点

New Fixed Points of Weakly Sequentially Continuous Semi-closed 1-Set Contraction Mappings
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摘要 利用弱序列连续的半闭1-集压缩映射的非线性二择一性质,得到了Banach空间中弱序列连续的半闭1-集压缩映射的若干新不动点定理,从而将著名的Altman定理、Roth定理和Petryshyn定理由压缩映射推广到弱序列连续的半闭1-集压缩映射的情形. In this paper, by means of nonlinear alternative for weakly sequentially continuous semi-closed 1-set contraction mappings, some new fixed point theorems of contraction mappings are obtained. As a result, the famous Altman＇s theorem, Roth＇s theorem and Petryshyn theorem for such class of mappings are obtained.
作者 许绍元
机构地区 赣南师范学院数学与计算机科学学院
出处 《赣南师范学院学报》 2009年第6期1-3,共3页 Journal of Gannan Teachers' College(Social Science(2))
基金 国家自然科学基金项目(10961003)
关键词 弱序列连续映射 Deblasi弱非紧型测度 半闭1-集压缩 非线性二择一 不动点 weakly sequentially continuous mapping Dehlasi weakly non-compact measure seml-closed l-set contraction mappings nonlinear alternative fixed point
分类号 O177.91 [理学—基础数学]
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参考文献9

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赣南师范学院学报
2009年 第6期

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