Maximal monotonicity of bifunctions

被引：55

作者：

Hadjisavvas, N. ^{[1
]}

Khatibzadeh, H. ^{[2
]}

机构：

[1] Univ Aegean, Dept Product & Syst Design Engn, Syros, Greece

[2] Tarbiat Modares Univ, Dept Math, Tehran, Iran

来源：

OPTIMIZATION | 2010年 / 59卷 / 02期

关键词：

equilibrium problem; monotone bifunctions; maximal monotone operators; cyclic monotonicity;

D O I：

10.1080/02331930801951116

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

For each monotone bifunction F defined on a subset C of a Banach space, an associated monotone operator AF can be defined. The bifunction F is called maximal monotone, if AF is maximal monotone. We find conditions for a bifunction to be maximal monotone and show the relation to the existence of solutions of an equilibrium problem. Also, we establish some properties of the domain C when F is maximal monotone. Finally, we define and study cyclically monotone bifunctions.

引用

页码：147 / 160

页数：14

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