On one class of extremum problems for nonlinear operator systems
type: Item
instance of: scholarly article
title: On one class of extremum problems for nonlinear operator systems
zbMATH Open document ID: 0951.49010
DOI: 10.1007/BF02667159
published in: Cybernetics and Systems Analysis
publication date: 2000-07-18T00:00:00Z
review text: The paper deals with the optimization problem in a reflexive Banach space \(X: I(u,y)\to \inf\), \(A(u,\alpha,y)=f\), \(F(u,y)\geq 0\), \( y\in K\subset X\), \(u\in U\subset \mathbf U,\) where \(A:U\times N\times X\to X^*\) and \(F:U\times X\to \mathbf R\cup \{+\infty\}\) are nonlinear mappings, \(f\in X^*.\) Using the penalization method the authors achieve the existence and regularity results for the solution \((u_0,y_0)\) of the optimization problem.
reviewed by: Igor Bock
Mathematics Subject Classification ID: 49J27
Mathematics Subject Classification ID: 90C48
Mathematics Subject Classification ID: 49N60
zbMATH DE Number: 1418938
zbMATH Keywords: optimization problem
zbMATH Keywords: nonlinear operator systems
zbMATH Keywords: Banach space
zbMATH Keywords: regularity
author: V. S. Mel'nik
author: Peter I. Kogut
MaRDI profile type: Publication
cites work: Q4040529
cites work: Minimization of superposition functionals
cites work: Q5620935
cites work: Q5667036
cites work: Q3874718
cites work: Q5601627
description: scientific article; zbMATH DE number 1418938