A self-adaptive inertial subgradient extragradient method for pseudomonotone equilibrium and common fixed point problems
نویسندگان
چکیده
منابع مشابه
An Iterative Scheme for Generalized Equilibrium, Variational Inequality and Fixed Point Problems Based on the Extragradient Method
The problem ofgeneralized equilibrium problem is very general in the different subjects .Optimization problems, variational inequalities, Nash equilibrium problem and minimax problems are as special cases of generalized equilibrium problem. The purpose of this paper is to investigate the problem of approximating a common element of the set of generalized equilibrium problem, variational inequal...
متن کاملAn Extragradient Method for Mixed Equilibrium Problems and Fixed Point Problems
The purpose of this paper is to investigate the problem of approximating a common element of the set of fixed points of a demicontractive mapping and the set of solutions of a mixed equilibrium problem. First, we propose an extragradient method for solving the mixed equilibrium problems and the fixed point problems. Subsequently, we prove the strong convergence of the proposed algorithm under s...
متن کاملCommon 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 کاملWeak Convergence Theorem by an Extragradient Method for Variational Inequality, Equilibrium and Fixed Point Problems
In this paper, we introduce a new iterative scheme for finding the common element of the set of: fixed points; equilibrium; and the variational inequality problems for monotone and k -Lipschitz continuous mappings. The iterative process is based on the so-called extragradient method. We show that the sequence converges weakly to a common element of the above three sets under some parameter cont...
متن کاملThe extragradient-Armijo method for pseudomonotone equilibrium problems and strict pseudocontractions
* Correspondence: [email protected]. vn Department of Scientific Fundamentals, Posts and Telecommunications Institute of Technology, Hanoi, Vietnam Full list of author information is available at the end of the article Abstract In this article, we present a new iteration method for finding a common element of the set of fixed points of p strict pseudocontractions and the set of solutions of equili...
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: Fixed Point Theory and Applications
سال: 2020
ISSN: 1687-1812
DOI: 10.1186/s13663-020-00676-y