AUTHORS: Najeeb Abdulaleem
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In this paper, a class of E-differentiable multiobjective programming problems with both inequality and equality constraints is considered. The so-called E-Karush-Kuhn-Tucker necessary optimality conditions are established for such nonsmooth vector optimization problems. Also, the sufficiency of these necessary optimality conditions are proved for E-differentiable multiobjective programming problems under (generalized) E-invexity hypotheses.
KEYWORDS: E-differentiable vector optimization problem; E-optimality conditions; E-invex set; E-invex function with respect to η.
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