| 一个新的多值压缩映射不动点定理 |
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| 引用本文： | 王云杰,朱江.一个新的多值压缩映射不动点定理[J].徐州师范大学学报(自然科学版),2009,27(4):27-29. |
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| 作者姓名： | 王云杰 朱江 |
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| 作者单位： | 1. 徐州师范大学,科文学院,江苏,徐州,221116
2. 徐州师范大学,数学科学学院,江苏,徐州,221116 |
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| 基金项目： | 国家自然科学基金，the Natural Science Foundation of Xuzhou Normal University |
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| 摘 要： | 为进一步发展和完善度量空间中的不动点理论,扩展不动点定理的应用范围,利用Cauchy收敛判别准则给出了一个新的多值压缩映射不动点定理,该结论改进了Nadler不动点定理及最近的某些结果.
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| 关 键 词： | 完备度量空间 多值压缩映射 动点定理 下半连续 |
A new fixed point theorem for multi-valued contractive mappings |
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| WANG Yunjie,ZHU Jiang.A new fixed point theorem for multi-valued contractive mappings[J].Journal of Xuzhou Normal University(Natural Science Edition),2009,27(4):27-29. |
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| Authors: | WANG Yunjie ZHU Jiang |
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| Abstract: | In order to develop and improve the fixed point theorem in metric space and extend its application, a new fixed point theorem is presented for multi-valued contractive mappings by using Cauchy criterion for convergence in this paper. Our result generalizes and improves Nadler's fixed point theorem and some recent results. |
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| Keywords: | complete metric space multi-valued contractive mapping fixed point theorem lower semi-continuous |
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