Farkas-Type Results for Vector-Valued Functions with Applications

N. Dinh (), M. A. Goberna (), M. A. López () and T. H. Mo ()
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N. Dinh: International University, Vietnam National University - HCMC
M. A. Goberna: University of Alicante
M. A. López: University of Alicante
T. H. Mo: Tien Giang University

Journal of Optimization Theory and Applications, 2017, vol. 173, issue 2, No 1, 357-390

Abstract: 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.

Keywords: Farkas-type theorems; Vector optimization; Weak solutions; Vector variational inequalities; Vector equilibrium problems (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10957-016-1055-2

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