| 乘积FC-度量空间中的极大元定理及其对变分不等式和截口的应用 |
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| 引用本文： | 文开庭,熊显萍.乘积FC-度量空间中的极大元定理及其对变分不等式和截口的应用[J].黔西南民族师范高等专科学校学报,2013(4):102-106. |
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| 作者姓名： | 文开庭 熊显萍 |
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| 作者单位： | [1]毕节学院,贵州毕节551700 [2]兴义民族师范学院,贵州兴义562400 |
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| 基金项目： | 国家自然科学基金资助项目（11361003）;贵州省自然科学基金资助项目[黔科合丁字[典2011]2093];贵州省教育厅重点资助项目[黔教合K字[2012]058]. |
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| 摘 要： | 建立了乘积FC-度量空间中的极大元定理，作为应用，获得了乘积FC-度量空间中的Browder不动点定理、变分不等式和Ky Fan截口定理。这些结果统一、改进和推广了近期文献的一些已知结果。
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| 关 键 词： | FC-度量空间 极大元 不动点 变分不等式 |
A Maximal Element Theorem in Product FC-Metric Spaces and the Application to Variational Inequalities and Sections |
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| WEN Kai-ting,XIONG Xian-ping.A Maximal Element Theorem in Product FC-Metric Spaces and the Application to Variational Inequalities and Sections[J].Journal of Southwest Guizhou Teachers College for Nationalities,2013(4):102-106. |
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| Authors: | WEN Kai-ting XIONG Xian-ping |
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| Institution: | 2 (1. Bijie University, Bijie, Guizhou, 551700 China;2. Xingyi Normal University for Nationalities, Xingyi, Guizhou 562400,China) |
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| Abstract: | In this paper, a maximal element theorem is established in product FC-metrie spaces. As application, Browder fixed point theorem, a variational inequality and a Ky Fan section theorem are obtained in FC-metrie spaces. These results unify, improve and generalize some known results in recent literature. |
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| Keywords: | FC-metric space Maximal element Fixed point Variational inequality |
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