Convergence analysis on Browder-Tikhonov regularization for second-order evolution hemivariational inequality  

作　　者：Yibin XIAO Guoji TANG Xianjun LONG Nanjing HUANG 

机构地区：[1]School of Mathematical Sciences, University of Electronic Science and Technology of China [2]School of Science, Guangxi University for Nationalities [3]College of Mathematics and Statistics, Chongqing Technology and Business University [4]Department of Mathematics, Sichuan University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2015年第10期1371-1382,共12页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.11101069,11171237,11471059,and 81171411);the China Postdoctoral Science Foundation(Nos.2014M552328 and2015T80967);the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry

摘　　要：This paper studies the Browder-Tikhonov regularization of a second-order evolution hemivariational inequality （SOEHVI） with non-coercive operators. With duality mapping, the regularized formulations and a derived first-order evolution hemivariational inequality （FOEHVI） for the problem considered are presented. By applying the Browder-Tikhonov regularization method to the derived FOEHVI, a sequence of regularized solutions to the regularized SOEHVI is constructed, and the strong convergence of the whole sequence of regularized solutions to a solution to the problem is proved.This paper studies the Browder-Tikhonov regularization of a second-order evolution hemivariational inequality （SOEHVI） with non-coercive operators. With duality mapping, the regularized formulations and a derived first-order evolution hemivariational inequality （FOEHVI） for the problem considered are presented. By applying the Browder-Tikhonov regularization method to the derived FOEHVI, a sequence of regularized solutions to the regularized SOEHVI is constructed, and the strong convergence of the whole sequence of regularized solutions to a solution to the problem is proved.

关 键 词：second-order evolution hemivariational inequality （SOEHVI） Browder-Tikhonov regularization Clarke＇s generalized gradient 

分 类 号：O178[理学—数学]