Some Conditions for Maximal Monotonicity of Bifunctions

被引：7
|
作者：
Hadjisavvas, Nicolas [1 ]
Jacinto, Flavia M. O. [2 ]
Martinez-Legaz, Juan E. [3 ,4 ]
机构：
[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
[2] Univ Fed Amazonas, Dept Matemat, BR-69077000 Manaus, AM, Brazil
[3] Univ Autonoma Barcelona, MOVE, Bellaterra 08193, Spain
[4] Univ Autonoma Barcelona, Dept Econ & Hist Econ, Bellaterra 08193, Spain
来源：
SET-VALUED AND VARIATIONAL ANALYSIS | 2016年 / 24卷 / 02期
基金：
澳大利亚研究理事会;
关键词：
Monotone bifunctions; Maximal monotone operators; Equilibrium problems; CONVEX-FUNCTIONS; OPERATORS;
D O I：
10.1007/s11228-015-0343-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present necessary and sufficient conditions for a monotone bifunction to be maximally monotone, based on a recent characterization of maximally monotone operators. These conditions state the existence of solutions to equilibrium problems obtained by perturbing the defining bifunction in a suitable way.
引用
收藏
页码：323 / 332
页数：10
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