On fixed point approach to equilibrium problem
Optimization and Control
2021-04-28 v1
Abstract
The equilibrium problem defined by the Nikaid\^o-Isoda-Fan inequality contains a number of problems such as optimization, variational inequality, Kakutani fixed point, Nash equilibria, and others as special cases. This paper presents a picture for the relationship between the fixed points of the Moreau proximal mapping and the solutions of the equilibrium problem that satisfies some kinds of monotonicity and Lipschitz-type condition.
Cite
@article{arxiv.2104.13283,
title = {On fixed point approach to equilibrium problem},
author = {Le Dung Muu and Xuan Thanh Le},
journal= {arXiv preprint arXiv:2104.13283},
year = {2021}
}
Comments
14 pages