Essential stability in unified vector optimization

The emphasis of the paper is to examine the essential stability of efficient solutions for semicontinuous vector optimization problems, subject to the perturbation of objective function and feasible set. We obtain sufficient conditions for existence and characterization of essential efficient soluti...

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Published in:Journal of global optimization 2021-05, Vol.80 (1), p.161-175
Main Authors: Kapoor, Shiva, Lalitha, C. S.
Format: Article
Language:English
Subjects:
Computer Science
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
Perturbation
Real Functions
Stability
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description The emphasis of the paper is to examine the essential stability of efficient solutions for semicontinuous vector optimization problems, subject to the perturbation of objective function and feasible set. We obtain sufficient conditions for existence and characterization of essential efficient solutions, essential sets and essential components, where the efficient solutions are governed by an arbitrary preference relation in a real normed linear space. Further, we establish the density of the set of stable vector optimization problems in the sense of Baire category. We also exhibit that essential stability is weaker than examining continuity aspects of solution sets.
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subjects Computer Science
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
Perturbation
Real Functions
Stability
title Essential stability in unified vector optimization
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