Strong Convergence of Extragradient-Type Method to Solve Pseudomonotone Variational Inequalities Problems
نویسندگان
چکیده
منابع مشابه
Strong convergence for variational inequalities and equilibrium problems and representations
We introduce an implicit method for nding a common element of the set of solutions of systems of equilibrium problems and the set of common xed points of a sequence of nonexpansive mappings and a representation of nonexpansive mappings. Then we prove the strong convergence of the proposed implicit schemes to the unique solution of a variational inequality, which is the optimality condition for ...
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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: Axioms
سال: 2020
ISSN: 2075-1680
DOI: 10.3390/axioms9040115