Banach空间中-类非线性变分包含问题解的具混合误差项的Ishikawa迭代逼近

本文在实自反Banach空间的框架下,研究了一类具有Lispschitz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Ishikawa迭代程序的收敛性问题。在适当的条件下,证明了该迭代序列强收敛于变分包含问题的唯一解。其结果改进和推广了引文中相应的结果。

Ishikawa Iterative Approximation with Mixed Errors of Solutions for Certain Nonlinear Variational Inclusions in Banach Spaces

The paper studies the existence and uniquence of solutions and the corresponding conver-gence problem of the Ishikawa iterative sequence with mixed errors for a family of strongly accretive type variational inclusions satisfying the Lipschitz condition in a real reflexive Ba-nach space.It is proved that,under suitable conditions,this iterative sequence converges strongly to the solution of this family of variational inclusions.The presented results extend and improve the corresponding results.