Hilbert空间中的广义非线性混合拟变分包含

Generalized Nonlinear Mixed Quasi-variational Inclusion in Hilbert Spaces

本文在H ilbert空间考虑了一类广义混合拟变分包含,利用预解式概念,得到了这类广义非线性混合拟变分包含在H ilbert空间的解,证明了由算法生成的迭代序列的收敛性。

We consider a new class of generalized mixed quasi -variational inclusion problems in Hilbert spaces. Using the concept of resolvent operator, we suggest an algorithm for solving the generalized Nonlinear mixed quasi -variational inclusion problems in Hilbert spaces. Furthermore, we proved the convergence of the iterative sequences generated by the algorithm.