| 广义强非线性拟变分不等式和拟补问题解的扰动算法 |
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| 引用本文： | 丁协平,王凡.广义强非线性拟变分不等式和拟补问题解的扰动算法[J].四川师范大学学报(自然科学版),1996(4). |
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| 作者姓名： | 丁协平 王凡 |
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| 作者单位： | 四川师范大学数学系(丁协平)，江苏南通师范高等专科学校数学系(王凡) |
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| 摘 要： | 本文进一步研究了由第一作者引入和研究的一类广义强非线性拟变分不等式和拟补问题．在另一类假设条件下证明了解的存在性，提出了一类新的求近似解的迭代算法——扰动算法，证明了扰动近似解序列强收敛于精确解
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| 关 键 词： | 广义强非线性拟变分不等式，广义强非线性拟补问题，扰动近似解算法 |
PERTURBED ALGORITHMS OF SOLUTIONS FOR GENERALIZED STRONGLY NONLINEAR QUASI VARIATIONAL INEQUALITIES AND QUASI COMPLEMENTARITY PROBLEMS |
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| Ding,Xieping.PERTURBED ALGORITHMS OF SOLUTIONS FOR GENERALIZED STRONGLY NONLINEAR QUASI VARIATIONAL INEQUALITIES AND QUASI COMPLEMENTARITY PROBLEMS[J].Journal of Sichuan Normal University(Natural Science),1996(4). |
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| Authors: | Ding Xieping |
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| Abstract: | This paper further studies a class of generalized strongly nonlinear quasivariational inequalities and quasicomplementarity problems introduced by the first author. Under other assuming conditions, some existence theorems of solutions are proved. A new perturbed algorithm for finding approximate solations is proposed and analysed. The convergence of new purturbed algorithm to the exact solution is proved. |
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| Keywords: | Generalized strongly nonlinear quasivariational inequalities Generalized strongly nonlinear quasicomplementarity problems Perturbed algorithm |
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