About the weak efficiencies in vector optimization

Authors:
Cristina Stamate
Affiliations:
Institute of Mathematics, Iasi, Romania
Venue:
MAMECTIS/NOLASC/CONTROL/WAMUS'11 Proceedings of the 13th WSEAS international conference on mathematical methods, computational techniques and intelligent systems, and 10th WSEAS international conference on non-linear analysis, non-linear systems and chaos, and 7th WSEAS international conference on dynamical systems and control, and 11th WSEAS international conference on Wavelet analysis and multirate systems: recent researches in computational techniques, non-linear systems and control
Year:
2011

Citing 2
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Lagrangian duality for minimization of nonconvex multifunctions

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&egr;-weak minimal solutions of vector optimization problems with set-valued maps

Journal of Optimization Theory and Applications

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Abstract

We present the principal properties of the weak efficient points given in the literature. We study a vector optimization problems for multifunctions, defined with infimal and supremal efficient points in locally convex spaces ordered by convex, pointed closed cones with nonempty interior in conection with a scalar optimization problem.