一类新的k-次增生型变分包含解的存在性及其具有混合误差项的Ishikawa迭代逼近  

Existence and Ishikawa Iterative Approximation with Mixed Errors of Solutions for a New Class of Variational Inclusions with k-Subaccretive Type Mappings

作　　者：谷峰[1] 

机构地区：[1]杭州师范大学数学系应用数学研究所,浙江杭州310036

出　　处：《应用数学》2007年第4期646-652,共7页Mathematica Applicata

基　　金：浙江省自然科学基金资助课题(Y605191);黑龙江省自然科学基金资助课题(A0211);浙江省教育厅科研基金资助课题(20051897);杭州师范大学引进人才科研启动基金资助课题(021301)

摘　　要：在实自反Banach空间中,引入和研究了一类新的k-次增生型变分包含问题,证明了这类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.本文结果本质地改进、发展和统一了张石生和曾六川等人的一系列相关结果.The purpose of this paper is to introduce and study a nwe class of variational inclusions problem with k- subaccretive type mappings in real reflexive Banach spaces. We prove the existence and uniqueness of solutions to this class of variational in clusions and the convergence of Ishikawa iteration process with mixed errors for approximating solutions. The results presented in this paper improve, extend and unify many corresponding results obtained by Chang,Zeng and others.

关 键 词：变分包含 k-次增生映象 M-增生映象 具混合误差项的Ishikawa迭代程序 

分 类 号：O177.91[理学—数学]