Continuous approximate solutions in parametric optimization
type: Item
instance of: scholarly article
title: Continuous approximate solutions in parametric optimization
zbMATH Open document ID: 0671.90078
DOI: 10.1007/BF00047533
author: J. F. McClendon
published in: Acta Applicandae Mathematicae
publication date: 1989-01-01T00:00:00Z
review text: The paper deals with a generalized approximate version of the standard nonlinear parametric optimization problem. Questions of existence and continuity of its solution are studied. Some topological results are used to weaken the usual convexity assumptions and some noncompactness is also allowed. The results are applied to obtain some \(\epsilon\)-Nash equilibrium theorems for noncooperative games with some nonconvexity in the strategy sets. The theorems are generalizations of corresponding results of Tijs.
reviewed by: L.Grygarova
Mathematics Subject Classification ID: 90C31
Mathematics Subject Classification ID: 91A10
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 90C30
zbMATH DE Number: 4099061
zbMATH Keywords: continuous solutions
zbMATH Keywords: Serre multifunctions
zbMATH Keywords: generalized approximate version
zbMATH Keywords: nonlinear parametric optimization
zbMATH Keywords: \(\epsilon \) -Nash equilibrium
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00047533
OpenAlex ID: W2086819416
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description: scientific article; zbMATH DE number 4099061