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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
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##### 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)
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