Hilbert空间中一类包含集值随机模糊映射的变分包含问题

Variational inclusions involving set-valued random fuzzy mappings in Hilbert spaces

作者构造了一个迭代算法,解决了Hilbert空间内一类包含H(·,·)-单调集值映射和随机模糊映射的变分包含问题.作者给出了这个解存在的一个充分必要条件,并且证明出这个迭代序列刚好收敛到这个变分包含的解.

In this paper, the authors propose an iterative algorithm to solve a variational inclusion involving H（·,·）-monotone set-valued mappings and random fuzzy mappings in a Hilbert space. Sufficient and necessary condition of the existence of a solution is proposed to this kind of inclusion. The conver- gence of the iterative sequences generated by the algorithm are also proved.