×

zbMATH — the first resource for mathematics

Epsilon-solutions and epsilon-supports. (English) Zbl 0577.90060
The characterization of \(\epsilon\)-optimal solutions by J. J. Strodiot, V. H. Nguyen and N. Heukemes [see Math. Program. 25, 307-328 (1983; Zbl 0495.90067)] is extended to nondifferentiable convex programming problems by means of \(\epsilon\)-subgradients. The connection with the classical \(\epsilon\)-free optimality conditions is investigated.
Reviewer: K.Zimmermann

MSC:
90C25 Convex programming
90C55 Methods of successive quadratic programming type
90C30 Nonlinear programming
49K10 Optimality conditions for free problems in two or more independent variables
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Strodiot J.J., Math. Programming 25 pp 307– (1983) · Zbl 0495.90067
[2] Holmes R.B., Geometric Functional Analysis and its Applications (1975) · Zbl 0336.46001
[3] Oettli W., Modern Applied Mathematics pp 195– (1982)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.