Vector nonconvex perturbational duality theory via the abstract duality scheme. (English) Zbl 0652.90092

Tran Quoc Chien

Nonlinear analysis and optimization problems. Essays dedic. Hoang Tuy Occas. 60th Birthday, 140-149 (1987).

[For the entire collection see Zbl 0647.00009.]
The paper continues a series of articles of the author [Kybernetika 20, 304-313 (1984; Zbl 0556.49010); ibid. 20, 386-404 (1984; Zbl 0575.49006); ibid. 20, 458-472 (1984; Zbl 0575.49007); ibid. 21, 298-312 (1985; Zbl 0579.90091); ibid. 22, 299-319 (1986; Zbl 0616.90081); ibid. 23, 67-81 (1987; Zbl 0615.49007); ibid. 23, 365-369 (1987; Zbl 0641.90089)] devoted to the duality theory in vector optimization. This time the nonconvex perturbational duality of Lindberg [see J. V. Outrata and J. Jarusek, Kybernetica 21, Suppl. (1985; Zbl 0589.90066)] is extended to vector optimization via the abstract duality scheme.

MSC:

90C31	Sensitivity, stability, parametric optimization
49N15	Duality theory (optimization)

Keywords:

vector optimization; nonconvex perturbational duality of Lindberg