新一类非线性模糊混合拟变分包含的迭代算法

Iterative Algorithm with the Errors on a New Class of Nonlinear Fuzzy Mixed Quasi-Variational Inclusions

在Banach空间中,引入和研究了带(A,η)-增生映象的新一类非线性模糊混合拟变分包含.利用(A,η)-增生映象的预解算子和Nadler定理,对此类变分包含建立解的存在性定理,并讨论了寻求解的带误差的新迭代算法,证明了由此算法生成的迭代序列的收敛性.

A new class of nonlinear fuzzy mixed quasi-variational inclusions with(A,η)-accetive mappings in Banach spaces is introduced and studied.By using the resolvent operator associated with(A,η)-acce-tive mappings,a new iterative algorithm with the errors and an existence theorem of solutions for this kind of variational inclusions are established and discussed,and the convergence of iterative sequences generated by the algorithm is proved inq-uniformly smooth Banach spaces.