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Zeitschrift für Analysis und ihre Anwendungen


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Volume 26, Issue 4, 2007, pp. 495–506
DOI: 10.4171/ZAA/1339

Published online: 2007-12-31

Estimates of Approximate Solutions and Well-Posedness in Vector Optimization

Ya-ping Fang[1] and Nan-jing Huang[2]

(1) Sichuan University, China
(2) Sichuan University, China

In this paper we estimate the sizes of approximate solution sets for vector optimization from outside and inside, respectively. In terms of an important scalarization function, we obtain some estimates of approximate solutions for well-posed vector optimization, and some estimates of approximate solutions for well-posed vector optimization under perturbations.

Keywords: Vector optimization, well-posedness, extended well-posedness, approximate solution, estimate

Fang Ya-ping, Huang Nan-jing: Estimates of Approximate Solutions and Well-Posedness in Vector Optimization. Z. Anal. Anwend. 26 (2007), 495-506. doi: 10.4171/ZAA/1339