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摘要: |
本文在Hilbert 空间中研究逆拟变分不等式问题解的存在性、唯一性和迭代算法. 通过
投影技巧, 我们建立了逆拟变分不等式问题和不动点问题的等价关系, 从而得到解的存在性定理和迭
代算法. 此外, 我们还利用W iener -Hopf 方程, 辅助原理技术构造求解逆拟变分不等式的迭代算法,
并通过间隙函数进行了误差界分析. 本文推广和改进了现有文献的一些相关结果. |
关键词: 逆拟变分不等式 W iener -Hopf 方程 辅助原理 间隙函数 |
DOI: |
分类号:O177 |
基金项目:江苏省高校自然科学研究面上项目 (16KJB110009); 江苏高校哲学社会科学研究项目 (2017SJB0238); 江苏省自然科学基金 (BK20171041). |
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RESEARCH ON INVERSE QUASI-VARIATIONAL INEQUALITY PROBLEMS |
zhang cong jun,li yang
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Abstract: |
In this paper, we work on the existence, the uniqueness and the iterative algorithm
of solutions for inverse quasi-variational inequality problems in Hilbert spaces. Using the projection
operator technique, we establish the equivalence between the inverse quasi-variational inequality
problem and the fixed point problem. Then we obtain the existence theorems and iterative
algorithms of the solution. In addition, iterative algorithms for solving inverse quasi-variational
inequalities are constructed by using the W iener Hopf equation and the auxiliary principle
technique, and the error bound is analyzed by the gap function. Some related results of the
existing literatures are extended and improved. |
Key words: Inverse Quasi- Variational Inequality Wiener-Hopf Equation Auxiliary Principle Gap Function. |