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Image Space Analysis and Scalarization for ε-Optimization of Multifunctions

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of Isfahan, Isfahan, Iran

    M. Chinaie

  2. Department of Mathematics, Sheikhbahaee University and University of Isfahan, Isfahan, 81745-163, Iran

    J. Zafarani

Authors
  1. M. Chinaie
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  2. J. Zafarani
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Corresponding author

Correspondence to J. Zafarani.

Additional information

Communicated by F. Giannessi.

The authors express their sincere gratitude to Professor F. Giannessi and the referees for comments and valuable suggestions. The second author was partially supported by the Center of Excellence for Mathematics, University of Isfahan, Isfahan, Iran.

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Chinaie, M., Zafarani, J. Image Space Analysis and Scalarization for ε-Optimization of Multifunctions. J Optim Theory Appl 157, 685–695 (2013). https://doi.org/10.1007/s10957-010-9657-6

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  • DOI: https://doi.org/10.1007/s10957-010-9657-6

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