common solutions to pseudomonotone equilibrium problems
نویسندگان
چکیده
in this paper, we propose two iterative methods for finding a common solution of a finite family of equilibrium problems for pseudomonotone bifunctions. the first is a parallel hybrid extragradient-cutting algorithm which is extended from the previously known one for variational inequalities to equilibrium problems. the second is a new cyclic hybrid extragradient-cutting algorithm. in the cyclic algorithm, using the known techniques, we can perform and develop practical numerical experiments.
منابع مشابه
Common solutions to pseudomonotone equilibrium problems
In this paper, we propose two iterative methods for finding a common solution of a finite family of equilibrium problems for pseudomonotone bifunctions. The first is a parallel hybrid extragradient-cutting algorithm which is extended from the previously known one for variational inequalities to equilibrium problems. The second is a new cyclic hybrid extragradient-cutting algorithm....
متن کاملOn Equilibrium Problems Involving Strongly Pseudomonotone Bifunctions
We study equilibrium problems with strongly pseudomonotone bifunctions in real Hilbert spaces. We show the existence of a unique solution. We then propose a generalized strongly convergent projection method for equilibrium problems with strongly pseudomonotone bifunctions. The proposed method uses only one projection without requiring Lipschitz continuity. Application to variational inequalitie...
متن کاملBilevel Vector Pseudomonotone Equilibrium Problems: Duality and Existence∗
The aim of this paper is devoted to investigate the duality and existence of solutions for a class of bilevel vector pseudomonotone equilibrium problems without involving the information about the solution set of the lower-level equilibrium problem. Firstly, we propose the dual formulations of bilevel vector equilibrium problems (BVEP). Secondly, the primal-dual relationships are derived under ...
متن کاملIterative common solutions for monotone inclusion problems, fixed point problems and equilibrium problems
Let H be a real Hilbert space, and let C be a nonempty closed convex subset of H. Let α > 0, and let A be an α-inverse strongly-monotone mapping of C into H. Let T be a generalized hybrid mapping of C into H. Let B andW be maximal monotone operators on H such that the domains of B andW are included in C. Let 0 < k < 1, and let g be a k-contraction of H into itself. Let V be a γ -strongly monoto...
متن کاملIterative Algorithms for Finding Common Solutions to Variational Inclusion Equilibrium and Fixed Point Problems
The main purpose of this paper is to introduce an explicit iterative algorithm to study the existence problem and the approximation problem of solution to the quadratic minimization problem. Under suitable conditions, some strong convergence theorems for a family of nonexpansive mappings are proved. The results presented in the paper improve and extend the corresponding results announced by som...
متن کاملCommon Solutions of an Iterative Scheme for Variational Inclusions, Equilibrium Problems, and Fixed Point Problems
We introduce an iterative scheme by the viscosity approximate method for finding a common element of the set of solutions of a variational inclusion with set-valued maximal monotone mapping and inverse stronglymonotonemappings, the set of solutions of an equilibrium problem, and the set of fixed points of a nonexpansive mapping. We obtain a strong convergence theorem for the sequences generated...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
bulletin of the iranian mathematical societyجلد ۴۲، شماره ۵، صفحات ۱۲۰۷-۱۲۱۹
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023