Existence and Boundedness of Solutions in Infinite-Dimensional Vector Optimization Problems

César Gutiérrez (), Rubén López () and Vicente Novo ()
Additional contact information
César Gutiérrez: Universidad de Valladolid
Rubén López: Universidad Católica de la Ssma. Concepción
Vicente Novo: Universidad Nacional de Educación a Distancia

Journal of Optimization Theory and Applications, 2014, vol. 162, issue 2, No 10, 515-547

Abstract: Abstract This work focuses on the nonemptiness and boundedness of the sets of efficient and weak efficient solutions of a vector optimization problem, where the decision space is a normed space and the image space is a locally convex Hausdorff topological linear space. By studying certain boundedness and coercivity concepts of vector-valued functions and via an asymptotic analysis, we extend to this kind of problems some well-known existence and boundedness results for efficient and weak efficient solutions of multiobjective optimization problems with Pareto or polyhedral orderings. Some of these results are proved under weaker assumptions.

Keywords: Convex vector optimization; Efficient solution; Weak efficient solution; Existence theorems; Asymptotic function; Asymptotic cone; Boundedness; Coercivity; Linear scalarization; Domination property; 49J27; 90C29 (search for similar items in EconPapers)
Date: 2014
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
http://link.springer.com/10.1007/s10957-014-0541-7 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:162:y:2014:i:2:d:10.1007_s10957-014-0541-7

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-014-0541-7

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().