Email Alert    RSS

Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (12): 1589-.doi: https://doi.org/10.1007/s10483-009-1210-x

• Articles • 上一篇    下一篇

Some results of variational inclusion problems and fixed point problems with applications

郝彦   

  1. 1. School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan 316004, Zhejiang Province, P. R. China;
    2. College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, Zhejiang Province, P. R. China
  • 收稿日期:2009-05-31 修回日期:2009-10-15 出版日期:2009-12-23 发布日期:2009-12-01

Some results of variational inclusion problems and fixed point problems with applications

HAO Yan   

  1. 1. School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan 316004, Zhejiang Province, P. R. China;
    2. College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, Zhejiang Province, P. R. China
  • Received:2009-05-31 Revised:2009-10-15 Online:2009-12-23 Published:2009-12-01

PDF

961

摘要： This paper introduces a general iterative algorithm to approximate a common element in the solution set of quasi-variational inclusion problems and the common fixed point set of an infinite family of nonexpansive mappings. It is proven that the iterative sequences generated in the proposed iterative algorithm converge strongly to some common element in the framework of the real Hilbert spaces.

关键词: variational inequality, fixed point, nonexpansive mapping, quasi-variational inclusion

Abstract: This paper introduces a general iterative algorithm to approximate a common element in the solution set of quasi-variational inclusion problems and the common fixed point set of an infinite family of nonexpansive mappings. It is proven that the iterative sequences generated in the proposed iterative algorithm converge strongly to some common element in the framework of the real Hilbert spaces.

Key words: variational inequality, fixed point, nonexpansive mapping, quasi-variational inclusion

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals
Total visitors:
Copyright © Applied Mathematics and Mechanics (English Edition)
Address：P. O. Box 122, Shanghai University, 99 Shangda Road, Shanghai 200444, China
E-mail： amm@department.shu.edu.cn
Technical support: Beijing Magtech Co.ltd support@magtech.com.cn