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

[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).

[学科分类] 数学（综合）

[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