η-Approximation Method for Non-convex Multiobjective Variational Problems
Tadeusz Antczak, Anna Michalak · Numerical Functional Analysis and Optimization · 2017
In this paper, we use the η-approximation method for a class of non-convex multiobjective variational problems with invex functionals. In this approach, for the considered multiobjective variational problem, the associated η-approximated multiobjective variational problem is constructed at the given feasible solution. The equivalence between (weakly) efficient solutions in the original multiobjective variational problem and its associated η-approximated multiobjective variational problem is established under invexity hypotheses.