Abstract
AbstractThis paper deals with nonsmooth multi-objective optimization problems involving locally Lipschitz \(V-r\)-invexity using Michel–Penot subdifferential. We consider vector variational-like inequalities of Stampacchia and Minty type and establish some results, which give necessary and sufficient conditions for a feasible point to be Pareto optimal solution of the MOP. We also establish various results related to weak Pareto optimal solution of the MOP and corresponding weak versions of the vector variational-like inequalities.KeywordsMulti-objective optimizationClarke subdifferentialMichel–Penot subdifferential\(V-r\)-invexityEfficient solutionVariational inequalities
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