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BIBTEX RIS

A Tikhonov-type regularization for equilibrium problems in Hilbert spaces

2012; Elsevier BV; Volume: 401; Issue: 1 Linguagem: Inglês

10.1016/j.jmaa.2012.12.034

ISSN

1096-0813

Autores

Paulo Roberto Oliveira, P. S. M. Santos, Anderson Nunes Silva,

Tópico(s)

Advanced Optimization Algorithms Research

Resumo

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.

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