Strong pseudomonotonicity, sharp efficiency and stability for parametric vector equilibria

Free access article

Issue		ESAIM: Proc. Volume 17, 2007 CSVAA 2004 - Control Set-Valued Analysis and Applications


Page(s)		9 - 18
DOI		http://dx.doi.org/10.1051/proc:071702
Published online		26 April 2007

ESAIM: Proc., April 2007, Vol. 17, pp. 9-18
DOI: 10.1051/proc:071702

Strong pseudomonotonicity, sharp efficiency and stability for parametric vector equilibria

Ewa M.Bednarczuk

Systems Research Institute PAS, Newelska 6, 01-447 Warsaw, Poland

(Published online: 26 April 2007)

Abstract
We investigate Holder type estimates of solutions to parametric vector equilibrium problems. Our results rely on the notion of strong pseudomonotonicity of the bifunctions defining problems. When applied to vector optimization problems, the strong pseudomonotonicity introduced in the present paper implies the uniform (with the same constant) sharpness of solutions.

Key words: Parametric vector equilibrium problems, Holder continuity, pseudomonotone bifunctions, sharp solutions

© EDP Sciences, ESAIM 2007

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