Extended B-Well-Posedness and Property (H) for Set-Valued Vector Optimization with Convexity

Y. P. Fang (), R. Hu and N. J. Huang
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Y. P. Fang: Sichuan University
R. Hu: Chengdu University of Information Technology
N. J. Huang: Sichuan University

Journal of Optimization Theory and Applications, 2007, vol. 135, issue 3, No 10, 445-458

Abstract: Abstract The purpose of this paper is to study the extended well-posedness in the sense of Bednarczuk for set-valued vector optimization. This notion of well-posedness can be interpreted as some sort of well-posedness under perturbation in terms of Hausdorff set-convergence. To investigate the extended B-well-posedness, we generalize property (H) due to Miglierina and Molho to the set-valued and perturbed case. Under a convexity assumption, we show that the extended B-well-posedness is closely related to property (H).

Keywords: Set-valued vector optimization; Extended B-well-posedness; Convexity; Property (H); Containment property; Domination property (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10957-007-9272-3

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