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


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


Zbl 0495.90067
Full Text: DOI


[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)
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