Strong convergence results for hemivariational inequalities  

作　　者：LIU Zhenhai ZOU Jiezhong 

机构地区：[1]Department of Mathematics, Changsha University of Science and Technology, Changsha 410076, China [2]School of Mathematical Science and Computing Technology, Central South University, Changsha 410075, China School of Mathematical Science and Computing Technology, Central South University, Changsha 410075, China

出　　处：《Science China Mathematics》2006年第7期893-901,共9页中国科学：数学（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China(Grant No.10171008);the Natural Science Foundation of Hunan Province(Grant No.05JJ20003).

摘　　要：The purpose of this paper is to study a regularization method of solutions of ill-posed problems involving hemivariational inequalities in Banach spaces. Under the assumption that the hemivariational inequality is solvable, a strongly convergent approximation procedure is designed by means of the so-called Browder-Tikhonov regularization method. Our results generalize and extend the previously known theorems.The purpose of this paper is to study a regularization method of solutions of ill-posed problems involving hemivariational inequalities in Banach spaces. Under the assumption that the hemivariational inequality is solvable, a strongly convergent approximation procedure is designed by means of the so-called Browder-Tikhonov regularization method. Our results generalize and extend the previously known theorems.

关 键 词：hemivariational inequalities  Clarke subdifferential  regularization  STRONG convergence. 

分 类 号：N[自然科学总论]