Hybrid proximal methods for equilibrium problems
نویسندگان
چکیده
This paper concerns developing two hybrid proximal point methods (PPMs) for finding a common solution of some optimization-related problems. First we construct an algorithm to solve simultaneously an equilibrium problem and a variational inequality problem, combing the extragradient method for variational inequalities with an approximate PPM for equilibrium problems. Next we develop another algorithm based on an alternate approximate PPM for finding a common solution of two different equilibrium problems. We prove the global convergence of both algorithms under pseudomonotonicity assumptions.
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عنوان ژورنال:
- Optimization Letters
دوره 6 شماره
صفحات -
تاریخ انتشار 2012