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Image Space Analysis and Scalarization for ε-Optimization of Multifunctions

Author

Listed:
  • M. Chinaie

    (University of Isfahan)

  • J. Zafarani

    (Sheikhbahaee University and University of Isfahan)

Abstract

Vector constrained problems for multifunctions are considered. Under an assumption based on generalized sections of the feasible set, some results in ε-optimization are achieved. In particular, necessary and sufficient conditions for scalarization of ε-optimization for multifunctions are deduced.

Suggested Citation

  • M. Chinaie & J. Zafarani, 2013. "Image Space Analysis and Scalarization for ε-Optimization of Multifunctions," Journal of Optimization Theory and Applications, Springer, vol. 157(3), pages 685-695, June.
    • Handle: RePEc:spr:joptap:v:157:y:2013:i:3:d:10.1007_s10957-010-9657-6
    DOI: 10.1007/s10957-010-9657-6
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    References listed on IDEAS

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    1. Taiyong Li & Yihong Xu & Chuanxi Zhu, 2007. "∊-Strictly Efficient Solutions Of Vector Optimization Problems With Set-Valued Maps," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 24(06), pages 841-854.
    2. M. Chinaie & J. Zafarani, 2009. "Image Space Analysis and Scalarization of Multivalued Optimization," Journal of Optimization Theory and Applications, Springer, vol. 142(3), pages 451-467, September.
    3. Joël Benoist & Nicolae Popovici, 2003. "Characterizations of convex and quasiconvex set-valued maps," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 57(3), pages 427-435, August.
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