Optimality Conditions for Several Types of Efficient Solutions of Set-Valued Optimization Problems

T.X.D. Ha
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T.X.D. Ha: Hanoi Institute of Mathematics

Chapter Chapter 21 in Nonlinear Analysis and Variational Problems, 2010, pp 305-324 from Springer

Abstract: Abstract A simple unified framework is presented for the study of strong efficient solutions, weak efficient solutions, positive proper efficient solutions, Henig global proper efficient solutions, Henig proper efficient solutions, super efficient solutions, Benson proper efficient solutions, Hartley proper efficient solutions, Hurwicz proper efficient solutions and Borwein proper efficient solutions of set-valued optimization problem with/or without constraints. Some versions of the Lagrange claim, the Fermat rule and the Lagrange multiplier rule are formulated in terms of the first- and second-order radial derivatives, the Ioffe approximate coderivative and the Clarke coderivative.

Keywords: Vector Optimization; Vector Optimization Problem; Open Cone; Nonempty Interior; Asplund Space (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4419-0158-3_21

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DOI: 10.1007/978-1-4419-0158-3_21

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