Some regularities for parametric equilibrium problems

Authors:
M. Bogdan;J. Kolumbán
Affiliations:
Petru Maior University, Târgu-Mureş, Romania;Department of Analysis and Optimization, Babeş-Bolyai University, Cluj-Napoca, Romania
Venue:
Journal of Global Optimization
Year:
2009

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Abstract

In this paper we aim to study a family of equilibrium problems governed by pseudomonotone maps depending on a parameter and the behavior of their solutions. The main result gives sufficient conditions for closedness of the solution map defined on the set of parameters.