A self-adaptive projection method for a class of variant variational inequalities
نویسندگان
چکیده
منابع مشابه
A Self–adaptive Projection Method for a Class of Variant Variational Inequalities
In this paper, we consider the general variant variational inequality of the type: Find a vector u∗ ∈ Rn , such that Q(u∗) ∈Ω, 〈v−Q(u∗),Tu∗〉 0, ∀v ∈Ω, where T,Q are operators. We suggest and analyze a very simple self-adaptive iterative method for solving this class of general variational inequalities. Under certain conditions, the global convergence of the proposed method is proved. An example...
متن کاملA relaxed projection method for variational inequalities
where S is a nonempty closed convex subset o f R ' , f is a mapp ing f rom R" into itself, and ( . , .) denotes the inner p roduc t in R n. This problem is commonly called the variational inequality problem and has proved to be very useful in dealing with a variety o f equilibrium models. As in the cases o f nonl inear equat ions and nonl inear opt imizat ion problems, solutions o f problem (1)...
متن کاملSelf-Adaptive Implicit Methods for Monotone Variant Variational Inequalities
The efficiency of the implicit method proposed by He 1999 depends on the parameter β heavily; while it varies for individual problem, that is, different problem has different “suitable” parameter, which is difficult to find. In this paper, we present a modified implicit method, which adjusts the parameter β automatically per iteration, based on the message from former iterates. To improve the p...
متن کاملA Class of Projection Methods for General Variational Inequalities
In this paper, we consider and analyze a new class of projection methods for solving pseudomonotone general variational inequalities using the Wiener–Hopf equations technique. The modified methods converge for pseudomonotone operators. Our proof of convergence is very simple as compared with other methods. The proposed methods include several known methods as special cases. 2002 Elsevier Scie...
متن کاملA Hybrid Inertial Projection-proximal Method for Variational Inequalities
The hybrid proximal point algorithm introduced by Solodov and Svaiter allowing significant relaxation of the tolerance requirements imposed on the solution of proximal subproblems will be combined with the inertial method introduced by Alvarez and Attouch which incorporates second order information to achieve faster convergence. The weak convergence of the resulting method will be investigated ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2011
ISSN: 1846-579X
DOI: 10.7153/jmi-05-11