A Tikhonov-type regularization for equilibrium problems in Hilbert spaces

作者：Oliveira P R; Santos P S M^*; Silva A N

来源：Journal of Mathematical Analysis and Applications, 2013, 401(1): 336-342.

DOI：10.1016/j.jmaa.2012.12.034

• Equilibrium problem
• Tikhonov-type regularization
• Weak convergence

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.

• 出版日期2013-5-1