An iterative method for variational inequality problems and fixed point problems in Hilbert spaces

Authors

  • Xiaolong Qin Department of Mathematics and the RINS, Gyeongsang National University, Chinju 660-701, Korea Author
  • Meijuan Shang Department of Mathematics, Shijiazhuang University, Shijiazhuang 050035, China Author
  • Yongfu Su Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China Author

Keywords:

Projection method, relaxed cocoercive mapping, nonexpansive mapping, fixed point

Subjects:

47H05, 47H09, 47J05, 47J25

Abstract

In this paper, weintroduce a new iterative scheme to investigate the problem offinding a common element of the set of fixed points of anonexpansive mapping and the set of solutions of a variationalinequality problem for a relaxed $(\gamma,r)$-cocoercive,Lipschitz continuous mapping. Our results improve and extend thecorresponding results of many others.

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Published

2008-04-15

Issue

Vol. 60 No. 2 (2008): Vol. 60, Issue 2

Section

Articles

License

Copyright (c) 2008 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.