A Tikhonov-type regularization for equilibrium problems in Hilbert spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:401

Article

Oliveira, P. R.¹  Santos, P. S. M.²  Silva, A. N.³ 

[1] PESC COPPE Fed Univ Rio de Janeiro, Rio De Janeiro, Brazil

[2] Univ Fed Piaui, Teresina, Piaui, Brazil

[3] Univ Fed Rio de Janeiro, Rio De Janeiro, Brazil

关键词: Equilibrium problem;    Tikhonov-type regularization;    Weak convergence;   

DOI  :  10.1016/j.jmaa.2012.12.034

来源: Elsevier

【 摘 要 】

In this paper we consider a general equilibrium problem in a Hilbert space defined on a closed and convex set. We show a Tikhonov-type regularization method that can be extended for the equilibrium problem. Under mild assumptions we establish the equivalence between the existence of solution of the original problem and the boundedness of the sequence generated by regularized problems. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free