Some results on approximate solutions of variational inequality problems for inverse strongly monotone operators
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- 作者：Shigeru Iemoto
- 关键词：variational inequality problem ; fixed point ; projected gradient method ; hybrid steepest descent method ; inverse strongly monotone operator ; cocoercive operator ; strongly monotone operator
- 刊名：Fixed Point Theory and Applications
- 出版年：2015
- 出版时间：December 2015
- 年：2015
- 卷：2015
- 期：1
- 全文大小：1,375 KB
- 刊物主题：Analysis; Mathematics, general; Applications of Mathematics; Differential Geometry; Topology; Mathematical and Computational Biology;
- 出版者：Springer International Publishing
- ISSN：1687-1812
文摘
We present results on approximate solutions to variational inequality problems for an injective inverse strongly monotone operator. Our results are based on Edelstein’s theorem (Edelstein in J. Lond. Math. Soc. 37:74-79, 1962).