Crespi, Giovanni P.; Ginchev, Ivan; Rocca, Matteo Two approaches toward constrained vector optimization and identity of the solutions. (English) Zbl 1127.90404 J. Ind. Manag. Optim. 1, No. 4, 549-563 (2005). Summary: In this paper we deal with a Fritz John type constrained vector optimization problem \[ \min_C f(x),\quad g(x) \in -K, \] where \(f \colon \mathbb{R}^n \rightarrow \mathbb{R}^m\), \(g \colon \mathbb{R}^n \rightarrow \mathbb{R}^p\). Here \(n,m\) and \(p\) are positive integers, \(K \subseteq \mathbb{R}^p\) is a closed convex cone and we assume that a partial ordering on \(\mathbb{R}^ m\) is induced by a cone \(C \subseteq \mathbb{R}^n\) which is closed and convex. Cited in 1 ReviewCited in 3 Documents MSC: 90C29 Multi-objective and goal programming 26B25 Convexity of real functions of several variables, generalizations PDFBibTeX XMLCite \textit{G. P. Crespi} et al., J. Ind. Manag. Optim. 1, No. 4, 549--563 (2005; Zbl 1127.90404) Full Text: DOI