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An Η-Approximation Approach In Nonlinear Vector Optimization With Univex Functions

Author

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  • TADEUSZ ANTCZAK

    (Faculty of Mathematics, University of Łódź, Banacha 22, 90-238 Łódź, Poland)

Abstract

In this paper, the so-called η-approximation approach is used to obtain the sufficient conditions for a nonlinear multiobjective programming problem with univex functions with respect to the same function η. In this method, an equivalent η-approximated vector optimization problem is constructed by a modification of both the objective and the constraint functions in the original multiobjective programming problem at the given feasible point. Moreover, to find the optimal solutions of the original multiobjective problem, it sufficies to solve its associated η-approximated vector optimization problem. Finally, the description of the η-approximation algorithm for solving a nonlinear multiobjective programming problem involving univex functions is presented.

Suggested Citation

  • Tadeusz Antczak, 2006. "An Η-Approximation Approach In Nonlinear Vector Optimization With Univex Functions," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 23(04), pages 525-542.
    • Handle: RePEc:wsi:apjorx:v:23:y:2006:i:04:n:s0217595906001029
    DOI: 10.1142/S0217595906001029
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    Cited by:

    1. Thai Chuong & Do Kim, 2014. "Optimality conditions and duality in nonsmooth multiobjective optimization problems," Annals of Operations Research, Springer, vol. 217(1), pages 117-136, June.
    2. Villacorta, Kely D.V. & Oliveira, P. Roberto, 2011. "An interior proximal method in vector optimization," European Journal of Operational Research, Elsevier, vol. 214(3), pages 485-492, November.

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