| G-度量空间中两对非相容映象的几个新的公共不动点定理 |
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| 引用本文： | 周书行,谷峰. G-度量空间中两对非相容映象的几个新的公共不动点定理[J]. 纯粹数学与应用数学, 2012, 28(3): 418-426. DOI: 10.3969/j.issn.1008-5513.2012.03.018 |
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| 作者姓名： | 周书行 谷峰 |
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| 作者单位： | 1.杭州师范大学数学系,浙江杭州,310036;2.杭州师范大学数学系,浙江杭州,310036 |
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| 基金项目： | 国家自然科学基金,浙江省自然科学基金 |
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| 摘 要： | 在G-度量空间的框架下,利用自映象对的非相容性和（Ag）型R-弱交换性条件,在既不要求空间的完备性,也不要求映象连续的条件下,建立了一类？-压缩条件下的4个映象的几个新的公共不动点定理,此定理在很大程度上改进和发展了已有文献的相关结果.
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| 关 键 词： | G-度量空间 非相容映象对 (Ag)型R-弱交换映象 公共不动点 |
Some new common fixed point theorem for two pairs of noncompatible mappings in G-metric spaces |
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| Zhou Shuhang,Gu Feng. Some new common fixed point theorem for two pairs of noncompatible mappings in G-metric spaces[J]. Pure and Applied Mathematics, 2012, 28(3): 418-426. DOI: 10.3969/j.issn.1008-5513.2012.03.018 |
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| Authors: | Zhou Shuhang Gu Feng |
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| Affiliation: | (Institute of Applied Mathematics and Department of Mathematics,Hangzhou Normal University,Hangzhou 310036,China) |
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| Abstract: | In this paper,by using the noncompatible and(Ag) type R-weak commutativity conditions of self-mapping pairs,we established some new common fixed point theorem for four self-mappings with -contractive condition in the framework of G-metric spaces.Our results not demanding for completeness of spaces and continuity of mappings.The results obtained in this paper largely improves and extends some relative results. |
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| Keywords: | G-metric spaces noncompatible mapping pairs (Ag) type R-weak commutativity mapping common fixed point |
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