| 2-Banach空间中Altman型映象的不动点定理 |
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| 引用本文： | 丛培根,张树义.2-Banach空间中Altman型映象的不动点定理[J].井冈山大学学报（自然科学版）,2018(1):17-20. |
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| 作者姓名： | 丛培根 张树义 |
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| 作者单位： | 渤海大学数理学院 |
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| 基金项目： | 国家自然科学基金项目（11371070） |
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| 摘 要： | 在2-Banach空间中引入广义拟弱交换映象概念,并使用广义拟弱交换映象概念研究Altman型映象不动点的存在性,证明了新的不动点定理,从而改进和推广了现有文献中的相应结果。
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| 关 键 词： | 2-Banach空间 广义拟弱交换映象 Altman型映象 不动点 Cauchy序列 |
| 收稿时间： | 2017/6/18 0:00:00 |
| 修稿时间： | 2017/9/29 0:00:00 |
THE FIXED POINT THEOREMS FOR ALTMAN TYPE MAPPINGS IN 2-BANACH SPACES |
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| CONG Pei-gen and ZHANG Shu-yi.THE FIXED POINT THEOREMS FOR ALTMAN TYPE MAPPINGS IN 2-BANACH SPACES[J].Journal of Jinggangshan University(Natural Sciences Edition),2018(1):17-20. |
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| Authors: | CONG Pei-gen and ZHANG Shu-yi |
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| Institution: | College of Mathematics and Physics, Bohai University, Jinzhou, Liaoning 121013, China and College of Mathematics and Physics, Bohai University, Jinzhou, Liaoning 121013, China |
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| Abstract: | By introducing the concept of generalized-weak commutativity mapping, the existence of nonunique fixed points for Altman type mappings in 2-Banach spaces are studied by using the concept of generalized-weak commutativity mapping. The new fixed point theorems are proved, which improve and extend the corresponding results in some references. |
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| Keywords: | 2-Banach spaces generalized-weak commutativity mapping Altman type mappings fixed point Cauchy sequence |
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