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Acta Mathematica Scientia

, Volume 39, Issue 2, pp 382–394 | Cite as

The Characterization of Efficiency and Saddle Point Criteria for Multiobjective Optimization Problem with Vanishing Constraints

  • Anurag Jayswal
  • Vivek SinghEmail author
Article
  • 2 Downloads

Abstract

In this article, we focus to study about modified objective function approach for multiobjective optimization problem with vanishing constraints. An equivalent η-approximated multiobjective optimization problem is constructed by a modification of the objective function in the original considered optimization problem. Furthermore, we discuss saddle point criteria for the aforesaid problem. Moreover, we present some examples to verify the established results.

Key words

multiobjective optimization problem with vanishing constraints efficient solution invexity η-Lagrange function saddle point 

2010 MR Subject Classification

26B25 90C29 90C30 

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Copyright information

© Wuhan Institute Physics and Mathematics, Chinese Academy of Sciences 2019

Authors and Affiliations

  1. 1.Department of Applied MathematicsIndian Institute of Technology (Indian School of Mines)DhanbadIndia

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