On cyclic and n-cyclic monotonicity of bifunctions

Monica Bianchi; N. Hadjisavvas; R Pini; M. H. Alizadeh

doi:10.1007/s10898-013-0113-7

On cyclic and n-cyclic monotonicity of bifunctions

Monica Bianchi
, N. Hadjisavvas^*
, R Pini
, M. H. Alizadeh

^*Corresponding author

University of the Aegean
Islamic Azad University

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

4 Citations (Scopus)

Abstract

In the recent literature, the connection between maximal monotone operators and\r\nthe Fitzpatrick function is investigated. Subsequently, this relation has been extended to\r\nmaximal monotone bifunctions and their Fitzpatrick transform. In this paper we generalize\r\nsome of these results to maximal n-cyclically monotone and maximal cyclically monotone\r\nbifunctions, by introducing and studying the Fitzpatrick transforms of order n or infinite\r\norder for bifunctions.

Original language	English
Pages (from-to)	599-616
Number of pages	18
Journal	Journal of Global Optimization
Volume	2014
Issue number	60
DOIs	https://doi.org/10.1007/s10898-013-0113-7
Publication status	Published - 2014

All Science Journal Classification (ASJC) codes

Computer Science Applications
Management Science and Operations Research
Control and Optimization
Applied Mathematics

Keywords

Fitzpatrick function
Maximal monotone operator
Monotone bifunction
n-Cyclic monotonicity

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10.1007/s10898-013-0113-7

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TY - JOUR

T1 - On cyclic and n-cyclic monotonicity of bifunctions

AU - Bianchi, Monica

AU - Hadjisavvas, N.

AU - Pini, R

AU - Alizadeh, M. H.

PY - 2014

Y1 - 2014

N2 - In the recent literature, the connection between maximal monotone operators and\r\nthe Fitzpatrick function is investigated. Subsequently, this relation has been extended to\r\nmaximal monotone bifunctions and their Fitzpatrick transform. In this paper we generalize\r\nsome of these results to maximal n-cyclically monotone and maximal cyclically monotone\r\nbifunctions, by introducing and studying the Fitzpatrick transforms of order n or infinite\r\norder for bifunctions.

AB - In the recent literature, the connection between maximal monotone operators and\r\nthe Fitzpatrick function is investigated. Subsequently, this relation has been extended to\r\nmaximal monotone bifunctions and their Fitzpatrick transform. In this paper we generalize\r\nsome of these results to maximal n-cyclically monotone and maximal cyclically monotone\r\nbifunctions, by introducing and studying the Fitzpatrick transforms of order n or infinite\r\norder for bifunctions.

KW - Fitzpatrick function

KW - Maximal monotone operator

KW - Monotone bifunction

KW - n-Cyclic monotonicity

KW - Fitzpatrick function

KW - Maximal monotone operator

KW - Monotone bifunction

KW - n-Cyclic monotonicity

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U2 - 10.1007/s10898-013-0113-7

DO - 10.1007/s10898-013-0113-7

M3 - Article

SN - 0925-5001

VL - 2014

SP - 599

EP - 616

JO - Journal of Global Optimization

JF - Journal of Global Optimization

IS - 60

ER -

On cyclic and n-cyclic monotonicity of bifunctions

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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