Improvement Sets and Convergence of Optimal Points

Pirro Oppezzi () and Anna Rossi ()
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Pirro Oppezzi: DIMA, Università di Genova
Anna Rossi: DIME, Università di Genova

Journal of Optimization Theory and Applications, 2015, vol. 165, issue 2, No 5, 405-419

Abstract: Abstract The aim of this paper is to give sufficient conditions for the existence of optimal points with respect to an improvement set, in the framework of Banach spaces and by using a recent definition of such sets, given by Chicco et al. and by Gutiérrez et al. The study of an economic model is provided as example of application of our achievements. The lower and upper convergences of optimal points of a convergent sequence of sets, in finite and infinite dimensional settings, are also considered, improving previous results. Finally, some sufficient conditions for the stability of optimal points are developed, discussing their importance via several examples.

Keywords: Vector optimization; Improvement sets; Variational convergence; Stability of optimal points; 49J45; 49K40; 90C31 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-014-0669-5

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