شماره ركورد كنفرانس :
4057
عنوان مقاله :
Extragradient methods for nonsmooth equilibrium problems in Banach spaces
عنوان به زبان ديگر :
Extragradient methods for nonsmooth equilibrium problems in Banach spaces
پديدآورندگان :
N. Iusem Alfredo iusp@impa.br IMPA, Brazil , Mohebbi Vahid mohebbi@impa.br, mohebbimath@gmail.com IMPA, Brazil
كليدواژه :
Armijo linesearch , equilibrium problem , extragradient method , Halpern regulariza , tion , pseudomonotone bifunction.
عنوان كنفرانس :
چهارمين كنفرانس بين المللي آناليز غير خطي و بهينه سازي
چكيده فارسي :
We introduce and analyze the extragradient method for solving nonsmooth equilibrium prob-
lems in Banach spaces, which generalizes the extragradient method for variational inequalities.
We prove weak convergence of the generated sequence to a solution of the equilibrium problem,
under standard assumptions on the bifunction which defines the problem, akin to those required
in the convergence analysis of the method, when applied to solving variational inequalities.
Then, we propose a regularization procedure which ensures strong convergence of the generated
sequence to a solution of the problem.
چكيده لاتين :
We introduce and analyze the extragradient method for solving nonsmooth equilibrium prob-
lems in Banach spaces, which generalizes the extragradient method for variational inequalities.
We prove weak convergence of the generated sequence to a solution of the equilibrium problem,
under standard assumptions on the bifunction which defines the problem, akin to those required
in the convergence analysis of the method, when applied to solving variational inequalities.
Then, we propose a regularization procedure which ensures strong convergence of the generated
sequence to a solution of the problem.
