一类广义集值强非线性混合似变分不等式组的迭代算法及辅助原理(英文)

Auxiliary principle and iterative algorithm for a system of generalized set-valued strongly nonlinear mixed variational-like inequalities

利用辅助原理技巧研究了Hilbert空间中一类广义集值强非线性混合似变分不等式组,通过构造新的迭代算法,证明了迭代序列的收敛性及变分不等式组问题解的存在性.该结果改进和推广了许多已知结果.

In this paper, the auxiliary principle technique is extended to study a system of generalized set-valued strongly non- linear mixed variational-like inequalities problem in Hilbert spaces. By constructing a new iterative algorithm ,the convergence of the iterative sequences generated by the algorithm and the existence of the solutions of the original problems are both proved. Our results improve and extend some known results.