在Hilbert空间中,引入和研究了一类新的带模糊映象的广义混合拟变分包含.利用(H,η)-单调映象的预解算子,对此类变分包含建立和讨论了解的存在性和求解的新迭代算法,证明了迭代序列的收敛性,所得结果改进和推广了最近文献的一些相应结果.
In this paper, a new class of generalized mixed quasi-variational inclusions with fuzzy set-valued mappings in Hilbert spaces is introduced and studied. By using the resolvent operator associated with (H,η) -monotone mappings, a new iterative algorithm is given and an existence theorem of solutions for this kind of variational inclusions is established and discussed. The results presented in this paper improve and unify some recent results in this field.