Approaching the maximal monotomcity of bifunctions via representative functions

Radu Loan Boţ; Sorin Mihai Grad

Approaching the maximal monotomcity of bifunctions via representative functions

Fac. Math. of the TU

Research output: Contribution to journal › Article › peer-review

Abstract

We provide an approach to maximal monotone bifonctions based on the theory of representative functions. Thus we extend to nonreflexive Banach spaces recent results due to A. N. Iusem and, respectively, N. Hadjisawas and H. Khatibzadeh, where sufficient conditions guaranteeing the maximal monotonicity of bifonctions were introduced. New results involving the sum of two monotone bifonctions are also presented.

Original language	English
Pages (from-to)	713-724
Number of pages	12
Journal	Journal of Convex Analysis
Volume	19
Issue number	3
Publication status	Published - 5 Oct 2012
Externally published	Yes

Keywords

Conjugate functions
Maximal monotone bifonctions
Maximal monotone operators
Representative functions
Subdifferentials

Cite this

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title = "Approaching the maximal monotomcity of bifunctions via representative functions",

abstract = "We provide an approach to maximal monotone bifonctions based on the theory of representative functions. Thus we extend to nonreflexive Banach spaces recent results due to A. N. Iusem and, respectively, N. Hadjisawas and H. Khatibzadeh, where sufficient conditions guaranteeing the maximal monotonicity of bifonctions were introduced. New results involving the sum of two monotone bifonctions are also presented.",

keywords = "Conjugate functions, Maximal monotone bifonctions, Maximal monotone operators, Representative functions, Subdifferentials",

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year = "2012",

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T1 - Approaching the maximal monotomcity of bifunctions via representative functions

AU - Boţ, Radu Loan

AU - Grad, Sorin Mihai

PY - 2012/10/5

Y1 - 2012/10/5

N2 - We provide an approach to maximal monotone bifonctions based on the theory of representative functions. Thus we extend to nonreflexive Banach spaces recent results due to A. N. Iusem and, respectively, N. Hadjisawas and H. Khatibzadeh, where sufficient conditions guaranteeing the maximal monotonicity of bifonctions were introduced. New results involving the sum of two monotone bifonctions are also presented.

AB - We provide an approach to maximal monotone bifonctions based on the theory of representative functions. Thus we extend to nonreflexive Banach spaces recent results due to A. N. Iusem and, respectively, N. Hadjisawas and H. Khatibzadeh, where sufficient conditions guaranteeing the maximal monotonicity of bifonctions were introduced. New results involving the sum of two monotone bifonctions are also presented.

KW - Conjugate functions

KW - Maximal monotone bifonctions

KW - Maximal monotone operators

KW - Representative functions

KW - Subdifferentials

M3 - Article

AN - SCOPUS:84866888700

SN - 0944-6532

VL - 19

SP - 713

EP - 724

JO - Journal of Convex Analysis

JF - Journal of Convex Analysis

IS - 3

ER -

Approaching the maximal monotomcity of bifunctions via representative functions

Abstract

Keywords

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