广义强非线性拟补问题<sup>*</sup>

广义强非线性拟补问题^*

基金项目: *国家自然科学基金

摘要: 利用本文中的算法,我们证明了广义强非线性拟补问题解的存在性及由算法产生的迭代序列的收敛性,改进和发展了Noor,Chang-Huang等人的结果.此外,也给出了求广义强非线性拟补问题的近似解的另一更一般的迭代算法并证明了由此迭代格式获得的近似解收敛于此补问题的精确解.
- 广义强非线性拟补问题 /
- Hilbert空间 /
- 锥 /
- 关于g的H-李卜西兹连续映象 /
- 关于g的Ψ-强单调映象 /
- 算法
Abstract: Using the algorithm in this paper,we prove the existence of solutions to the generalized strongly nonlinear quasi-complementarity problems and the convergence of theiterative sequences generated by the algorithm.Our results improve and extend thecorresponding results of Noor and Chang-Huang.Moreover,a more general iterativealgorithm for finding the approximate solution of generalized strongly nonlinear quasi-complementarity problems is also given.It is shown that the approximate solution obtained by the iterative scheme converges to the exact solution of this quasi-complementarity problem.
- generalized strongly nonlinear quasi-complementarity problem /
- Hilbert space /
- cone /
- H-Lipschitz continuous mapping with respect to g /
- ψ-strongly monotone mapping with respect to g /

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