High order stability conditions for degenerate optimization problems; elements of \(p\)-regularity theory

DOI10.1016/j.na.2010.09.034zbMath1229.90211OpenAlexW1981797926MaRDI QIDQ611192

Agnieszka Prusińska, Ewa M. Bednarczuk, Alexey A. Tret'yakov

Publication date: 14 December 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.09.034

zbMATH Keywords

optimizationestimationsensitivity analysisWeierstrass functionsingularconstraintsdegeneratesolution existence\(p\)-factor operator\(p\)-regularitynonregular\(p\)-order stability conditionsperturbed problem

Mathematics Subject Classification ID

Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31) Regularity of solutions in optimal control (49N60) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Optimality conditions for problems in abstract spaces (49K27)

Related Items (5)

Existence of periodic solutions to nonlinear \(p\)-regular boundary value problem ⋮ \(p\)-regular nonlinearity: tangency at singularity in degenerate optimization problems ⋮ On reductibility of degenerate optimization problems to regular operator equations ⋮ Solution method for underdetermined systems of nonlinear equations ⋮ Nonregular mixed-constrained optimization problems

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