On linear vector optimization duality in infinite-dimensional spaces

Radu Ioan Boţ; Sorin-Mihai Grad

doi:10.3934/naco.2011.1.407

Article Contents

2011, Volume 1, Issue 3: 407-415. Doi: 10.3934/naco.2011.1.407

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On linear vector optimization duality in infinite-dimensional spaces

Radu Ioan Boţ^1, and
Sorin-Mihai Grad^1,

1.
Faculty of Mathematics, Chemnitz University of Technology, D-09107 Chemnitz

Received: April 2011

Revised: July 2011

Published: August 2011

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Abstract

In this paper we extend to infinite-dimensional spaces a vector duality concept recently considered in the literature in connection to the classical vector minimization linear optimization problem in a finite-dimensional framework. Weak, strong and converse duality for the vector dual problem introduced with this respect are proven and we also investigate its connections to some classical vector duals considered in the same framework in the literature.

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Mathematics Subject Classification: Primary: 90C05; Secondary: 90C25, 90C29.

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References

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