【摘要】 本文延拓辅助原理的技巧,来研究一类广义集值强非线性混合似变分不等式。首先,利用Ky Fan引理,证明了这类混合似变分不等式的辅助问题解的存存性。其次,利用该存在性结果,给出了解这类混合似变分不等式的迭代算法。最后。既证明了这类混合似变分不等式解的存在性,又证明了由算法生成的迭代序列的收敛性。更多还原

【Abstract】 The auxiliary principle technique is extended to investigate a class of generalized set-valued strongly nonlinear variational-like inequalities. Firstly, the existence of solutions to the auxiliary problems for this class of mixed variational-like inequalities is shown by virtue of Ky Fan’s lemma. Secondly, the iterative algorithm for solving this class of mixed variational like inequalities is given by using this existence result. Finally, not only the existence of solutions of this class of mixed variational-like inequalities is shown, but also the convergence of iterative sequences generated by the algorithm is proven.更多还原