一类新的广义非线性变分包含

New Class of Generalized Nonlinear Variational Inclusions

引入和研究了一类新的含极大η 单调映名胜的广义非线性变分包含,在Hilbert空间中利用极大η 单调映象的预解算子技巧,构造了求解这类变分包含解的迭代算法,并讨论了由此算法生成的迭代序列的收敛性。其所得结果是近期相关结果的改进和扩充。

The authors introduce and study a new class of generalized nonlinear variational inclusions with maximal η-monotone mappings, in Hilbert spaces. By using the resolvent operator technique for maximal η-monotone mapping, we construct a new algorithm for solving this kind of variational inclusions, and prove vonvergence of iterative sequences generated by the algorithm. Those results improve and extend some known results.