Banach空间中关于H-增生的多值隐拟变分包含

H-accretive operators and resolvent operator technique for solving multi-valued implicit quasi variational inclusions in Banach spaces

引入和研究了定义在Banach空间内一类隐拟变分包含问题,借助预解算子技巧,构造了这类问题解的新的迭代算法,并且证明了解的存在性定理和收敛定理.

The purpose is to introduce and study a class of multi-valued implicit quasi variational inclusions with H - accretive operators in Banach spaces. By using the resolvent operator technique, some new iterative algorithms are constructed and some existence theorem of solutions and the convergence of iterative approximation for solving this kind of H - accretive multi-valued implicit quasi variational inclusions are established.