... − fxq≤0, for all x ∈ S.Sinceq ∈ int D,thereexistsu ∈−D\{0} such that −u, q 1andu, fx − fxq≤0, for all x ∈ S. Therefore, u, fx − fx≤−u, q ,forallx ∈ S,which ... conefSq D − fx,foralln ∈ N,thereexistλn≥ 0, xn∈ S,andqn∈ D such that pn λnfxnq qn− fx,foralln ∈ N. Therefore,u, fxnqqn−fx > 0, for all n ≥ n1, ... CorporationJournal of Inequalities and ApplicationsVolume 2010, Article ID 620928, 17 pagesdoi:10.1155/2010/620928 Research Article Optimality Conditions for Approximate Solutionsin Multiobjective Optimization...