Proper Efficiency in Vector Optimization on Real Linear Spaces

M. Adán and V. Novo
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M. Adán: Universidad de Castilla-La Mancha
V. Novo: Universidad Nacional de Educación a Distancia

Journal of Optimization Theory and Applications, 2004, vol. 121, issue 3, No 3, 515-540

Abstract: Abstract In this paper, we use an algebraic type of closure, which is called vector closure, and through it we introduce some adaptations to the proper efficiency in the sense of Hurwicz, Benson, and Borwein in real linear spaces without any particular topology. Scalarization, multiplier rules, and saddle-point theorems are obtained in order to characterize the proper efficiency in vector optimization with and without constraints. The usual convexlikeness concepts used in such theorems are weakened through the vector closure.

Keywords: Vector optimization; vector closure; proper efficiency; vector convexlikeness (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (8)

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DOI: 10.1023/B:JOTA.0000037602.13941.ed

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