An existence-uniqueness theorem and alternating contraction projection methods for inverse variational inequalities
نویسندگان
چکیده
منابع مشابه
Existence and Uniqueness Results for a Nonstandard Variational-Hemivariational Inequalities with Application
This paper aims at establishing the existence and uniqueness of solutions for a nonstandard variational-hemivariational inequality. The solutions of this inequality are discussed in a subset $K$ of a reflexive Banach space $X$. Firstly, we prove the existence of solutions in the case of bounded closed and convex subsets. Secondly, we also prove the case when $K$ is compact convex subsets. Fina...
متن کاملSome new projection methods for variational inequalities
In this paper, we propose some new double-projection methods for solving variational inequalities by using the Wiener–Hopf equations technique. It is shown that these methods converge linearly under mild conditions and include some existing projection methods as special cases. Some examples are given to illustrate the efficiency of the proposed methods. 2002 Elsevier Science Inc. All rights res...
متن کاملIncremental constraint projection methods for variational inequalities
We consider the solution of strongly monotone variational inequalities of the form F (x∗)′(x−x∗) ≥ 0, for all x ∈ X. We focus on special structures that lend themselves to sampling, such as when X is the intersection of a large number of sets, and/or F is an expected value or is the sum of a large number of component functions. We propose new methods that combine elements of incremental constra...
متن کاملProjection-proximal methods for general variational inequalities
In this paper, we consider and analyze some new projection-proximal methods for solving general variational inequalities. The modified methods converge for pseudomonotone operators which is a weaker condition than monotonicity. The proposed methods include several new and known methods as special cases. Our results can be considered as a novel and important extension of the previously known res...
متن کاملGeneralized Systems of Variational Inequalities and Projection Methods for Inverse-Strongly Monotone Mappings
We introduce an iterative sequence for finding a common element of the set of fixed points of a nonexpansive mapping and the solutions of the variational inequality problem for three inversestrongly monotone mappings. Under suitable conditions, some strong convergence theorems for approximating a common element of the above two sets are obtained. Moreover, using the above theorem, we also apply...
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 Inequalities and Applications
سال: 2018
ISSN: 1029-242X
DOI: 10.1186/s13660-018-1943-0