随机模糊映射的广义混合随机变分包含  

Generalized mixed variational inclusions for random fuzzy mappings

作　　者：王晓敏[1] 温敏[2] 

机构地区：[1]东北大学秦皇岛分校,河北秦皇岛066004 [2]东北大学理学院,辽宁沈阳110004

出　　处：《辽宁工程技术大学学报（自然科学版）》2010年第5期709-712,共4页Journal of Liaoning Technical University (Natural Science)

摘　　要：为了更好的完善变分不等式理论,引用和研究了一类随机模糊映射的随机广义混合变分包含问题,利用预解算子技巧证明了该类问题解的存在定理和收敛定理,构造了用于计算此变分包含逼近解的随机迭代算法。本文结果改进并推广了文献中的一些已知结论,更具有普遍性。To improve the theory of variational inequalities,this study had investigated random fuzzy generalized mixed variational inclusions of a class of random fuzzy maps. The study proved the existence theorem of solution of such problems and the convergence theorem using the resolvent operator technique,and developed a random iterative algorithm which is used for calculating the approximate solution of the variational inclusions. The results provide some improvement and extension on known theories and demonstrate its wide applicability.

关 键 词：随机模糊映射 随机广义混合变分包含 迭代算法 

分 类 号：O159[理学—数学]