Essential stability in unified vector optimization

Shiva Kapoor () and C. S. Lalitha ()
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Shiva Kapoor: University of Delhi
C. S. Lalitha: University of Delhi South Campus

Journal of Global Optimization, 2021, vol. 80, issue 1, No 8, 175 pages

Abstract: Abstract 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.

Keywords: Vector optimization; Essential sets; Essential components; Continuity; Semicontinuity; 90C29; 90C31; 46N10; 49J45 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s10898-021-00996-2

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