Ф-单调型集值变分包含解的Ishikawa迭代逼近  

On the Ishikawa Iterative Approximation of Solutions to Set-Valued Variational Inclusions withφ-Monotone Type Mappings

作　　者：王亚琴[1] 

机构地区：[1]绍兴文理学院数理信息学院数学系

出　　处：《数学学报（中文版）》2008年第3期481-486,共6页Acta Mathematica Sinica：Chinese Series

摘　　要：在实自反的Banach空间中引入和研究了一类新的非线性φ-单调型集值变分包含,并证明了此类变分包含解的唯一性及其具误差项的Ishikawa迭代程序的收敛性.本文结果在多方面改进和推广了Huang和Fang等人的一些相关结果.The purpose of this paper is to introduce and study a new class of nonlinear set-valued variational inclusions with Ф-monotone type mappings in a real reflexive Banach space. And we prove the uniqueness of solutions to this class of set-valued variational inclusions and the convergence of the Ishikawa iteration process with errors for approximating solutions. The result presented in this paper improves and extends many corresponding results obtained by Huang, Fang and others.

关 键 词：集值变分包含 自反的Banach空间 η-次可微 

分 类 号：O177.91[理学—数学]