一类非线性变分包含问题解的存在性和迭代逼近问题

研究了实自反Banach空间中一类具有L ipsch itz条件的强增生型变分包含解的存在性、唯一性及其具有混合误差项的M ann迭代程序的收敛性问题.另一方面,一个相关结果,讨论了一类强增生型变分不等式解的存在性和带有混合误差项的M ann迭代序列的收敛性.结果改进和推广了张石生,曾六川等人的相应结果.

Existence and Iterative Approximation Problem of Solutions for Certain Nonlinear Variational Inclusions

The purpose of this paper is to investigate the existence and uniqueness of solutions and convergence of Mann iterative process with mixed errors for a class of strongly accretive type variational inclusions with Lipschitz condition in real reflexive Banach spaces.On the other hand,a related result discusses the existence of solutions and the convergence of Mann iterative sequences with mixed errors for a class of strongly accretive type variational inequality.The results presented in this paper extend and improve the corresponding results of Chang and Zeng.