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η-Approximation Method for Non-convex Multiobjective Variational Problems

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ABSTRACT 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… Click to show full abstract

ABSTRACT 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.

Keywords: convex multiobjective; variational problem; non convex; multiobjective variational; approximation method; variational problems

Journal Title: Numerical Functional Analysis and Optimization
Year Published: 2017

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