| 一类新的广义强非线性拟变分不等式 |
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| 引用本文： | 张勇,袁晖坪.一类新的广义强非线性拟变分不等式[J].重庆工商大学学报(自然科学版),1999(4). |
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| 作者姓名： | 张勇 袁晖坪 |
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| 作者单位： | 内江师范高等专科学校数学系!四川内江641112(张勇)，渝州大学数学系!重庆400033(袁晖坪) |
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| 摘 要： | 研究了一类新的广义强非线性拟变分不等式问题。提出了求此类变分不等式的逼近解的迭代算法。在无紧性条件下，证明了由算法生成的迭代序列的收敛性和变分不等式的解的存在性。所得结果推广了一些新的结果。
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| 关 键 词： | 广义强非线性拟变分不等式 不动点 迭代算法 收敛准则 |
A New Class of Generailized Strongly Nonlinear Quasivariational Inequalities |
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| ZHANG Yong,YUAN Hui_ping.A New Class of Generailized Strongly Nonlinear Quasivariational Inequalities[J].Journal of Chongqing Technology and Business University:Natural Science Edition,1999(4). |
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| Authors: | ZHANG Yong YUAN Hui_ping |
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| Affiliation: | ZHANG Yong 1 YUAN Hui_ping 2 |
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| Abstract: | A new class of generalized strongly nonlinear quasivariational inequality problems is introduced and studied. An iterative algorithm for finding the approximate solution of the generalized strong nonlinear quasivariational inequality problem is suggested and analyzed. The convergence criteria for the algorithm and the existence of solutions for the problem are also discussed without compactness. Some new results are generalized from these results. |
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| Keywords: | generalized strong nonlinear quasivariational inequality fixed point iterative algorithms convergence criteria |
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