希尔伯特空间上松弛强变分不等式组的广义映射法

数学季刊 ›› 2009, Vol. 24 ›› Issue (3): 426-431.

希尔伯特空间上松弛强变分不等式组的广义映射法

1. Department of Mathematics, Anyang Normal University2. Department of Mathematics, Huanghuai University

收稿日期:2009-07-07 出版日期:2009-09-30 发布日期:2023-06-29
作者简介:YANG Jun(1973- ), male, native of Anyang, Henan, a lecturer of Anyang Normal University, M.S.D., engages in nonlinear PDEs; WU Zhong-lin(1972-), male, native of Zhengzhou, Henan, an associate professor of Huanghuai University, M.S.D., engages in nonlinear PDEs.
基金资助:
Supported by the NSF of Henan Province(092300410150)； Supported by the NSF of Department Education of Henan Province(2009C110002)； Supported by the Key Teacher Foundation of Huanghuai University；

A General Projection Method for a System of Relaxed Coercive Variational Inequalities in Hilbert Spaces

1. Department of Mathematics, Anyang Normal University2. Department of Mathematics, Huanghuai University

Received:2009-07-07 Online:2009-09-30 Published:2023-06-29
About author:YANG Jun(1973- ), male, native of Anyang, Henan, a lecturer of Anyang Normal University, M.S.D., engages in nonlinear PDEs; WU Zhong-lin(1972-), male, native of Zhengzhou, Henan, an associate professor of Huanghuai University, M.S.D., engages in nonlinear PDEs.
Supported by:
Supported by the NSF of Henan Province(092300410150)； Supported by the NSF of Department Education of Henan Province(2009C110002)； Supported by the Key Teacher Foundation of Huanghuai University；

摘要/Abstract

摘要： In this paper, we consider a new algorithm for a generalized system for relaxed coercive nonlinear inequalities involving three different operators in Hilbert spaces by the convergence of projection methods. Our results include the previous results as special cases extend and improve the main results obtained by many others.

关键词: relaxed coercive nonlinear variational inequality, projection method, relaxed
coercive mapping

Abstract: In this paper, we consider a new algorithm for a generalized system for relaxed coercive nonlinear inequalities involving three different operators in Hilbert spaces by the convergence of projection methods. Our results include the previous results as special cases extend and improve the main results obtained by many others.

Key words: relaxed coercive nonlinear variational inequality, projection method, relaxed
coercive mapping

中图分类号:

O178

杨峻, 吴忠林. 希尔伯特空间上松弛强变分不等式组的广义映射法[J]. 数学季刊, 2009, 24(3): 426-431.

YANG Jun, WU Zhong-lin. A General Projection Method for a System of Relaxed Coercive Variational Inequalities in Hilbert Spaces[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(3): 426-431.