# Optimality conditions for weak efficiency to vector optimization problems with composed convex functions

Radu Boţ; Ioan Hodrea; Gert Wanka

Open Mathematics (2008)

- Volume: 6, Issue: 3, page 453-468
- ISSN: 2391-5455

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topRadu Boţ, Ioan Hodrea, and Gert Wanka. "Optimality conditions for weak efficiency to vector optimization problems with composed convex functions." Open Mathematics 6.3 (2008): 453-468. <http://eudml.org/doc/269647>.

@article{RaduBoţ2008,

abstract = {We consider a convex optimization problem with a vector valued function as objective function and convex cone inequality constraints. We suppose that each entry of the objective function is the composition of some convex functions. Our aim is to provide necessary and sufficient conditions for the weakly efficient solutions of this vector problem. Moreover, a multiobjective dual treatment is given and weak and strong duality assertions are proved.},

author = {Radu Boţ, Ioan Hodrea, Gert Wanka},

journal = {Open Mathematics},

keywords = {multiobjective optimization; composed convex functions; conjugate duality; weak efficiency},

language = {eng},

number = {3},

pages = {453-468},

title = {Optimality conditions for weak efficiency to vector optimization problems with composed convex functions},

url = {http://eudml.org/doc/269647},

volume = {6},

year = {2008},

}

TY - JOUR

AU - Radu Boţ

AU - Ioan Hodrea

AU - Gert Wanka

TI - Optimality conditions for weak efficiency to vector optimization problems with composed convex functions

JO - Open Mathematics

PY - 2008

VL - 6

IS - 3

SP - 453

EP - 468

AB - We consider a convex optimization problem with a vector valued function as objective function and convex cone inequality constraints. We suppose that each entry of the objective function is the composition of some convex functions. Our aim is to provide necessary and sufficient conditions for the weakly efficient solutions of this vector problem. Moreover, a multiobjective dual treatment is given and weak and strong duality assertions are proved.

LA - eng

KW - multiobjective optimization; composed convex functions; conjugate duality; weak efficiency

UR - http://eudml.org/doc/269647

ER -

## References

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