一类新的含(A,η)-增生算子的广义混合拟-似变分包含组被引量：1

A New System of Generalized Quasi-like Variational Inclusions Involving(A,η)-Accretive Operator

下载PDF

导出

摘要介绍和研究了实q-一致光滑Banach空间中一类新的具(A,η)-增生算子的广义混合拟-似变分包含组,利用(A,η)-增生算子的预解算子技巧,证明了解的存在性及由新的p步迭代算法所生成序列的收敛性. A new system of generalized quasi-like variational inclusions involving （A,η）-accretive operator is introduced and studied by using the resolvent operator technique of （A,η）-accretive operator. And the existences of solutions and the convergences of sequences produced by the p-step iterative algorithms are proved in real q-uniform smooth Banach space.

作者邱洋青刘理蔚兰丽英

机构地区江西理工大学应用科学学院南昌大学理学院数学系

出处《应用泛函分析学报》 CSCD 2011年第4期375-382,共8页 Acta Analysis Functionalis Applicata

基金江西理工大学科研基金项目计划(jxxj10140)

关键词变分包含组 (A η)-增生算子预解算子迭代算法收敛性 a new system of generalized quasi-like variational inclusions （A，η）-accretive operator resolvent operator iterative algorithms convergence

分类号 O177.91 [理学—基础数学]

引文网络
相关文献

参考文献6

1PENG J W, ZHU D L. The p-step iterative algorithm for a system of generalized mixed quasi-variational inclusions with (H, rl)-monotone operators. J Glob Optim, 2007, 38(3): 386 403.
2PENG J W, ZHU D L. A new system of generalized mixed quasi-variational inclusions with (H, r/)- monotone operators[J]. J Math Anal Appl, 2007, 327(1): 175 178.
3Kazmi K R, Khan F A. Iterative approximation of a solution of multi-valued variational-like inclusion in Banach spaces: A p- r/-proximal-point mapping approach[J]. J Math Anal Appl, 2007, 325(1): 665 674.
4LAN Hengyou. (A, η)-Accretive mappings and set-valued variational inclusions with relaxed cocoercive mappings in Banach spaces[J]. Applied Mathematics Letters, 2007, 20(5): 571 577.
5邱洋青,刘理蔚.一类集值非线性混合变分包含问题和隐拟变分不等式问题的逼近解[J].南昌大学学报（理科版）,2007,31(2):113-116. 被引量：5
6刘理蔚,邱洋青,李小玲.关于集值非线性混合变分不等式问题[J].应用数学学报,2007,30(2):356-360. 被引量：4

二级参考文献8

1张从军.集值非线性混合变分包含问题解的存在性及其算法[J].应用数学学报,2005,28(1):65-72. 被引量：5
2张从军,孙敏.一类集值非线性混合变分包含问题的逼近解[J].应用数学和力学,2005,26(9):1121-1127. 被引量：2
3Bai M R,Tang Y Y,Liu Y P.Generalized Implicit Quasivariational Inequalities with Relaxed Lipschitz and Relaxed Monotone Mappings[J].Appl Math Lett,1999(12):69-76.
4Ding X P.Generalized Quasi-variational-like Inclusions with Nonconvex Functionals[J].Appl Math Comp,2001(122):267-282.
5Verma R U.On Generalized Variational Inequalities Involving Relaxed Lipschitz and Relaxed Monotone Operators[J].J Math Anal Appl,1997(213):387-392.
6Huang N J.On the Generalized Implicit Quasivariational Inequalities[J].J Math Anal Appl,1997(216):197-210.
7Mosco U.Implicit Variational Problems and Quasivariational Inequalities[M].Berlin:Spring-Verlag,1976.
8Dan Pascali,Silviusburlan.Nonlinear Mapping of Monotone type[M].Editura Academiei and Sijthoff & Noordhoff,1978.