Some Conditions for Maximal Monotonicity of Bifunctions

被引：8

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

页码：323 / 332

页数：10

共 12 条

[1] On the Fitzpatrick transform of a monotone bifunction [J].

Alizadeh, M. H. ;

Hadjisavvas, N. .

OPTIMIZATION, 2013, 62 (06) :693-701

[2]

Blum E., 1994, Math. student, V63, P123

[3]

Bot RI, 2012, J CONVEX ANAL, V19, P713

[4]

Burachik RS, 2005, J NONLINEAR CONVEX A, V6, P165

[5] Maximal monotonicity of bifunctions [J].

Hadjisavvas, N. ;

Khatibzadeh, H. .

OPTIMIZATION, 2010, 59 (02) :147-160

[6]

Hu S., 1997, Handbook of multivalued analysis, DOI 10.1007/978-1-4615-6359-4

[7] On Diagonal Subdifferential Operators in Nonreflexive Banach Spaces [J].

Iusem, A. N. ;

Svaiter, Benar Fux .

SET-VALUED AND VARIATIONAL ANALYSIS, 2012, 20 (01) :1-14

[8]

Iusem AN, 2011, J CONVEX ANAL, V18, P489

[9]

Martínez-Legaz JE, 2008, PAC J OPTIM, V4, P527

[10] Monotone operators representable by l.s.c. convex functions [J].

Martínez-Legaz, JE ;

Svaiter, BF .

SET-VALUED ANALYSIS, 2005, 13 (01) :21-46

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