- Title
- Farkas-type results for vector-valued functions with applications
- Creator
- Dinh, Nguyen; Goberna, Miguel; López, Marco; Mo, T. H.
- Date
- 2017
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/159226
- Identifier
- vital:11947
- Identifier
-
https://doi.org/10.1007/s10957-016-1055-2
- Identifier
- ISSN:0022-3239
- Abstract
- The main purpose of this paper consists of providing characterizations of the inclusion of the solution set of a given conic system posed in a real locally convex topological space into a variety of subsets of the same space defined by means of vector-valued functions. These Farkas-type results are used to derive characterizations of the weak solutions of vector optimization problems (including multiobjective and scalar ones), vector variational inequalities, and vector equilibrium problems.
- Publisher
- Springer
- Relation
- Journal of Optimization Theory and Applications Vol. 173, no. 2 (2017), p. 357-390
- Rights
- Copyright © Springer Science+Business Media New York 2017
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics; 0906 Electrical and Electronic Engineering; Farkas-type theorems; Vector optimization; Weak solutions; Vector variational inequalities; Vector equilibrium problems
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