q一致光滑Banach空间中关于广义变分不等式组的迭代算法(英文)  

Iterative Algorithms for a System of Generalized Variational Inequalities in q-uniformly Smooth Banach Spaces

作　　者：张丽娟[1] 

机构地区：[1]河北大学数学与计算机学院,河北保定071002

出　　处：《应用数学》2013年第4期925-933,共9页Mathematica Applicata

基　　金：Supported by the NSF of Hebei province (A2012201054);the NSF of China (11201110);the NSFY of Hebei Province (Y2012021)

摘　　要：在q一致光滑Banach空间中,本文引进一类包含三个算子的广义非线性变分不等式组,并考虑关于该类变分不等式组的三步迭代算法,得到该算法的强收敛定理,推广了某些已知结论.In this paper, we introduce a new system of generalized nonlinear variational inequalities involving three operators in q-uniformly smooth Banach spaces. A three-step iterative algorithm is considered for the system of generalized nonlinear variational inequalities. We prove strong convergence theorems of the three-step iterative algorithm, Our results can be viewed as extension of the corresponding results in some inferences.

关 键 词：变分不等式 投影方法 松弛协强制映射 q一致光滑 收敛 

分 类 号：O177.91[理学—数学]