随机模糊映射的随机广义集值非线性混合变分包含

摘要

In this paper,we introduce and study a new random generalized set-valued nonlinear mixed variational inclusion for random fuzzy mappings and construct a new random iteradve algorithm for approximating the random solutions of random generalized set-valued nonlinear mixed variational inclusion.By using the proximal mapping technique for generalized monotone mappings,we also discuss the existence of random solutions for random generalized set-valued nonlinear mixed variational inclusion and the convergence of random iterative sequences generated by the random iterative algorithm.The results presented in this paper improve and generalize some known corresponding results in the literature.%引入和研究了一新的随机模糊映射的随机广义集值非线性混合变分包含,并构造了新的逼近此变分包含随机解的随机迭代算法.利用广义单调映象的近似映射技巧,进一步讨论了随机模糊映射的随机广义集值非线性混合变分包含随机解的存在性及由此随机迭代算法生成的随机迭代序列的收敛性,所得结果推广与改进了文献中的一些相应的主要结果.