集值非线性混合变分包含问题的一类新的迭代算法

摘要

We study the existence and convergence properties of the generalized multivalued nonlinear mixed variational inclusion problem for finding the approximate solution. We established the equivalence between the varitional inclusion and the general resolvent equations, obtained a new iterative algorithms, provided the convergence analysis of the algorithms. The results obtained in our paper improved and generalized a number of resent results.%在Hilbert空间中讨论一类广义集值非线性混合变分包含问题近似解的存在性,建立变分包含与广义预解方程的等价性,形成了迭代算法并研究了算法的收敛性.