Optimality conditions and duality results for a new class of nonconvex nonsmooth vector optimization problems
Tadeusz Antczak, Ram U. Verma · Miskolc mathematical notes/Mathematical notes · 2021
In this paper, a new class of nonconvex nonsmooth multiobjective programming problems with both inequality and equality constraints defined in a real Banach space is considered.Under the nondifferentiable vectorial (Φ, ρ) w -invexity notion introduced in the paper, optimality conditions and duality results in Mond-Weir sense are established for the considered nonsmooth vector optimization problem.It turns out that the results developed here under (Φ, ρ) w -invexity are applicable for a larger class of nonconvex nondifferentiable multiobjective programming problems than under several generalized convexity notions existing in the literature.