Modified subgradient extragradient method to solve variational inequalities
نویسندگان
چکیده
منابع مشابه
A modified subgradient extragradient method for solving monotone variational inequalities
In the setting of Hilbert space, a modified subgradient extragradient method is proposed for solving Lipschitz-continuous and monotone variational inequalities defined on a level set of a convex function. Our iterative process is relaxed and self-adaptive, that is, in each iteration, calculating two metric projections onto some half-spaces containing the domain is involved only and the step siz...
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and Applied Analysis 3 2. Preliminaries Let H be a real Hilbert space with inner product 〈·, ·〉 and norm ‖ · ‖, and let C be a closed convex subset of H. It is well known that, for any u ∈ H, there exists a unique u0 ∈ C such that ‖u − u0‖ inf{‖u − x‖ : x ∈ C}. 2.1 We denote u0 by PCu, where PC is called the metric projection of H onto C. The metric projection PC ofH onto C has the following ba...
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ژورنال
عنوان ژورنال: Journal of Mathematics and Computer Science
سال: 2021
ISSN: 2008-949X
DOI: 10.22436/jmcs.025.02.03