TY  - JOUR
ID  - Antczak2014
LB  - Antczak2014
AU  - Antczak, Tadeusz
AU  - Jiménez, Manuel Arana
TI  - Sufficient optimality criteria and duality for multiobjective variational control problems with B-(p,r)-invex functions
ST  - Sufficient optimality criteria and duality for multiobjective variational control problems with B-(p,r)-invex functions
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2014
VL  - 34
IS  - 4
SP  - 665
EP  - 682
DO  - http://dx.doi.org/10.7494/OpMath.2014.34.4.665
UR  - http://dx.doi.org/10.7494/OpMath.2014.34.4.665
AB  - In this paper, we generalize the notion of \(B\)-\((p,r)\)-invexity introduced by Antczak in [A class of \(B\)-\((p; r)\)-invex functions and mathematical programming, J. Math. Anal. Appl. 286 (2003), 187-206] for scalar optimization problems to the case of a multiobjective variational programming control problem. For such nonconvex vector optimization problems, we prove sufficient optimality conditions under the assumptions that the functions constituting them are \(B\)-\((p,r)\)-invex. Further, for the considered multiobjective variational control problem, its dual multiobjective variational control problem in the sense of Mond-Weir is given and several duality results are established under \(B\)-\((p,r)\)-invexity.
KW  - multiobjective variational control problems
KW  - efficient solution
KW  - \(B\)-\((p,r)\)-invex functions
KW  - optimality conditions
KW  - duality
SN  - 1232-9274
ER  -