Sufficient optimality criteria and duality for multiobjective variational control problems with B-(p,r)-invex functions
Tadeusz Antczak, Manuel Arana‐Jiménez · Opuscula Mathematica · 2014
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.