NASH EQUILIBRIA FOR COMPONENTWISE VARIATIONAL SYSTEMS

被引：1

作者：

Stan, Andrei ^{[1
,2
]}

机构：

[1] Babes Bolyai Univ, Fac Math & Comp Sci, Cluj Napoca 400084, Romania

[2] Romanian Acad, Tiberiu Popoviciu Inst Numer Anal, Cluj Napoca 400110, Romania

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2023年 / 2023卷

关键词：

Dirichlet boundary condition; Monotone operator; Nash equilibrium;

D O I：

10.23952/jnfa.2023.6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we generalize an existing result regarding the existence of a Nash equilibrium for a system of fixed point equations. The problem is considered in a more general form and the initial conditions are also improved, without changing the final conclusion. This is achieved by combining the idea of a solution operator with monotone operator techniques and classical fixed point principles. An application to a coupled system with Dirichlet boundary conditions involving the p-Laplacian is provided.

引用

页数：10

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