Some relations between vector variational inequality problems and nonsmooth vector optimization problems using quasi efficiency

Some relations between vector variational inequality problems and nonsmooth vector optimization... This paper deals with the relations between vector variational inequality problems and nonsmooth vector optimization problems using the concept of quasi efficiency. We identify the vector critical points, the weak quasi efficient points and the solutions of the weak vector variational inequality problems under generalized approximate convexity assumptions. To the best of our knowledge such results have not been established till now. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Some relations between vector variational inequality problems and nonsmooth vector optimization problems using quasi efficiency

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Publisher
Springer Basel
Copyright
Copyright © 2013 by Springer Basel
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-013-0221-0
Publisher site
See Article on Publisher Site

Abstract

This paper deals with the relations between vector variational inequality problems and nonsmooth vector optimization problems using the concept of quasi efficiency. We identify the vector critical points, the weak quasi efficient points and the solutions of the weak vector variational inequality problems under generalized approximate convexity assumptions. To the best of our knowledge such results have not been established till now.

Journal

PositivitySpringer Journals

Published: Jan 24, 2013

References

  • A survey of recent developments in multiobjective optimization
    Chinchuluun, A; Pardalos, PM

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