@Article{Antczak2014,
author = "Antczak, Tadeusz and Jiménez, Manuel Arana",
title = "Sufficient optimality criteria and duality for multiobjective variational control problems with B-(p,r)-invex functions",
journal = "Opuscula Math.",
year = "2014",
volume = "34",
number = "4",
pages = "665--682",
doi = "http://dx.doi.org/10.7494/OpMath.2014.34.4.665",
url = "http://dx.doi.org/10.7494/OpMath.2014.34.4.665",
abstract = "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.",
keywords = "multiobjective variational control problems, efficient solution, \(B\)-\((p,r)\)-invex functions, optimality conditions, duality",
issn = "1232-9274"
}