一类新的包含松驰Lipschitz连续算子的广义强非线性拟变分不等式  

A NEW CLASS OF GENERALIZED STRONG NONLINEARQUASIVARIATIONAL INEQUALITIES INVOLVINGRELAXED LIPSCHITZ OPERATORS

作　　者：胡润雪[1] 

机构地区：[1]乐山师范高等专科学校数学系

出　　处：《四川师范大学学报（自然科学版）》1998年第4期390-394,共5页Journal of Sichuan Normal University（Natural Science）

摘　　要：研究了一类新的包含松驰Ｌｉｐｓｃｈｉｔｚ连续算子的广义强非线性拟变分不等式．首先用投影技巧证明了广义强非线性拟变分不等式等价于解一类非线性算子方程，由此提出了一种新的求近似解的迭代算法，并研究了这种算法的收敛性．其结果包含了许多近期结果，改进了Ｖｅｒｍａ的最近工作．This paper studies a new class of generalized strongly nonlinear quasivariational inequalities involving relaxed Lipschitz operators. By using the projective technique, the equivalence between the generalized strong nonlinear quasivariational inequalities and solving a class of nonlineary operation equation is established. Based on this a new interative algorithm is given and the covergence analysis of this interative algorithm is also given. These results include many known results as special cases and improve Verma’s recent works. 

关 键 词：拟变分不等式 非线性算子方程 李普希兹连续 

分 类 号：O177.91[理学—数学]