| 一个求解平衡问题不动点问题及变分不等问题公解的新方法及其对最优化问题的应用 |
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| 引用本文： | 张石生.一个求解平衡问题不动点问题及变分不等问题公解的新方法及其对最优化问题的应用[J].宜宾学院学报,2008,8(6). |
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| 作者姓名： | 张石生 |
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| 作者单位： | 宜宾学院数学系,四川宜宾644000;四川大学数学系,四川成都610064 |
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| 摘 要： | 本文借助在文章2]中所给出的一个求解平衡问题、不动点问题及变分不等式问题公共解的新方法，给出其在最优化问题的应用。本文结果是新的，它改进和推广了文献3，4，8]中的相应结果。
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| 关 键 词： | 平衡问题 α-逆强单调映象 无限族的非抗扩张映象 不动点 |
A New Method for Solving Equilibrium Problem Fixed Point Problem and Variational Inequality Problem with Application to Optimization |
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| Authors: | ZHANG Shi-sheng |
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| Institution: | ZHANG Shi-sheng (1.Department of Mathematics,Yibin University,Yibin 644000,China,2.Department of Mathematics,Sichuan University,Chengdu 610064,China) |
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| Abstract: | The purpose of the article is by using a new method presented in(2) for finding a common solution of the equilibrium problem,fixed poin problem and variational inequality problem to study the optimigation problem.The results given in the article are new,which extend and improve the corresponding results in(3,4,5). |
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| Keywords: | Equilibrium Problem Fixed Point Family of Infinitely Nonexpanslve Mappings A-Inverse-Strongly Monotone Mapping |
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