不具Lipschiz条件的一般变分不等式解的带误差Ishikawa迭代逼近

Ishikawa Iterative Approximation with Error of Solutions for General Variational Inequalities without Lipschitz Condition

通过引入辅助次微分原理,在Banach空间中证明了一类一般变分不等式解的存在性定理,在非线性算子不具Lipschitz条件下,建立和分析了这类一般变分不等式解的带误差Ishikawa迭代逼近.这些算法和结果改进和推广了许多已知的结果.

In this paper,by introducing auxiliary subdifferential principle,an existence theorem of solutions for a class of general variational inequalities is proved in Banach space,and an Ishikawa iterative approximation with error of solutions for the general variational inequalities without Lipschitz condition is suggested and analyzed.These algorithms and results improve and generalize many known results in literature.