First-Order Optimality Conditions in Multiobjective Optimization Problems: Differentiable Case

Authors

  • MM Rizvi Dept. of Mathematics, University of Chittagong, Chittagong
  • Muhammad Hanif Dept. of Mathematics, Noakhali Science and Technology University, Noakhali
  • GM Waliullah Dept. of Mathematics, University of Chittagong, Chittagong

DOI:

https://doi.org/10.3329/ganit.v29i0.8519

Keywords:

multiobjective optimization problems

Abstract

T. Maeda gave some constraint qualifications to get positive Lagrange multipliers associated with the vector-valued objective function and under these conditions, he derived Karush-Kuhn-Tucker (KKT) type necessary conditions for inequality constraints. In this paper, we have defined these Maeda-type constraint qualifications under different sets and have derived KKT type necessary conditions for both equality and inequality constraints.

GANIT J. Bangladesh Math. Soc. (ISSN 1606-3694) 29 (2009) 99-105 

DOI: http://dx.doi.org/10.3329/ganit.v29i0.8519

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How to Cite

Rizvi, M., Hanif, M., & Waliullah, G. (2011). First-Order Optimality Conditions in Multiobjective Optimization Problems: Differentiable Case. GANIT: Journal of Bangladesh Mathematical Society, 29, 99–105. https://doi.org/10.3329/ganit.v29i0.8519

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