| 弱序列连续的半闭1-集压缩映射的新不动点 |
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| 引用本文： | 许绍元.弱序列连续的半闭1-集压缩映射的新不动点[J].赣南师范学院学报,2009,30(6):1-3. |
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| 作者姓名： | 许绍元 |
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| 作者单位： | 赣南师范学院数学与计算机科学学院,江西,赣州341000 |
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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.
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| 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 |
New Fixed Points of Weakly Sequentially Continuous Semi-closed 1-Set Contraction Mappings |
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| XU Shao-yuan.New Fixed Points of Weakly Sequentially Continuous Semi-closed 1-Set Contraction Mappings[J].Journal of Gannan Teachers' College(Social Science(2)),2009,30(6):1-3. |
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| Authors: | XU Shao-yuan |
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| Institution: | XU Shao-yuan (School of Mathematics and Computer Science, Gannan Normal University, Ganzhou 341000, China) |
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| Abstract: | 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. |
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| Keywords: | weakly sequentially continuous mapping Deblasi weakly non-compact measure semi-closed 1-set contraction mappings nonlinear alternative fixed point |
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