BARRIER METHODS FOR EQUILIBRIUM PROBLEMS

I. Konnov; R. Pini; Monica Bianchi

BARRIER METHODS FOR EQUILIBRIUM PROBLEMS

I. Konnov
, R. Pini
, Monica Bianchi^*

^*Corresponding author

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

Abstract

We consider several versions of the barrier method for a general equilibrium problem with nonlinear constraints in a reflexive Banach space setting. We suggest weak coercivity conditions instead of (generalized) monotonicity, including one containing a perturbed barrier function, in order to entail solutions for the equilibrium problem. We obtain convergence properties of the method under mild assumptions.

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	Pure and Applied Functional Analysis
Volume	2017
Publication status	Published - 2017

Keywords

Equilibrium problems
barrier method
non-monotone bifunctions
regularization method

Cite this

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title = "BARRIER METHODS FOR EQUILIBRIUM PROBLEMS",

abstract = "We consider several versions of the barrier method for a general equilibrium problem with nonlinear constraints in a reflexive Banach space setting. We suggest weak coercivity conditions instead of (generalized) monotonicity, including one containing a perturbed barrier function, in order to entail solutions for the equilibrium problem. We obtain convergence properties of the method under mild assumptions.",

keywords = "Equilibrium problems, barrier method, non-monotone bifunctions, regularization method, Equilibrium problems, barrier method, non-monotone bifunctions, regularization method",

author = "I. Konnov and R. Pini and Monica Bianchi",

year = "2017",

language = "English",

volume = "2017",

pages = "1--10",

journal = "Pure and Applied Functional Analysis",

issn = "2189-3756",

publisher = "Yokohama Publications",

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TY - JOUR

T1 - BARRIER METHODS FOR EQUILIBRIUM PROBLEMS

AU - Konnov, I.

AU - Pini, R.

AU - Bianchi, Monica

PY - 2017

Y1 - 2017

N2 - We consider several versions of the barrier method for a general equilibrium problem with nonlinear constraints in a reflexive Banach space setting. We suggest weak coercivity conditions instead of (generalized) monotonicity, including one containing a perturbed barrier function, in order to entail solutions for the equilibrium problem. We obtain convergence properties of the method under mild assumptions.

AB - We consider several versions of the barrier method for a general equilibrium problem with nonlinear constraints in a reflexive Banach space setting. We suggest weak coercivity conditions instead of (generalized) monotonicity, including one containing a perturbed barrier function, in order to entail solutions for the equilibrium problem. We obtain convergence properties of the method under mild assumptions.

KW - Equilibrium problems

KW - barrier method

KW - non-monotone bifunctions

KW - regularization method

KW - Equilibrium problems

KW - barrier method

KW - non-monotone bifunctions

KW - regularization method

UR - http://hdl.handle.net/10807/113683

M3 - Article

SN - 2189-3756

VL - 2017

SP - 1

EP - 10

JO - Pure and Applied Functional Analysis

JF - Pure and Applied Functional Analysis

ER -

BARRIER METHODS FOR EQUILIBRIUM PROBLEMS

Abstract

Keywords

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