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A New Approach to Multiobjective Programming with a Modified Objective Function
Authors:Tadeusz Antczak
Institution:(1) Faculty of Mathematics, University of Lstrokódzacute, Banacha 22, 90-238 Lstrokódzacute, Poland
Abstract:In this paper, optimality for multiobjective programming problems having invex objective and constraint functions (with respect to the same function eegr) is considered. An equivalent vector programming problem is constructed by a modification of the objective function. Furthermore, an eegr-Lagrange function is introduced for a constructed multiobjective problem and modified saddle point results are presented.
Keywords:Efficient point  Invex function with respect to eegr" target="_blank">gif" alt="eegr" align="MIDDLE" BORDER="0">  Modified vector valued saddle point  Multiobjective programming  Vector valued eegr-Lagrange function" target="_blank">gif" alt="eegr" align="MIDDLE" BORDER="0">-Lagrange function
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