Some results on approximate solutions of variational inequality problems for inverse strongly monotone operators

Fixexd point theory and applications

Shigeru Iemoto¹ 

[1] Chuo University Suginami High School, Tokyo, Japan

关键词: variational inequality problem;    fixed point;    projected gradient method;    hybrid steepest descent method;    inverse strongly monotone operator;    cocoercive operator;    strongly monotone operator;    49J40;    47H10;    47H09;    49K27;   

DOI  :  10.1186/s13663-015-0337-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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).

【 授权许可】

CC BY