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Sufficiency and duality for multiobjective control problems under generalized (B, ρ)-type I functions

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Abstract

In this paper, we introduce the classes of (B, ρ)-type I and generalized (B, ρ)-type I, and derive various sufficient optimality conditions and mixed type duality results for multiobjective control problems under (B, ρ)-type I and generalized (B, ρ)-type I assumptions.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Kent State University, Kent, OH, 44242, USA

    Khadija Khazafi & Per Enflo

  2. Merrimack College, North Andover, MA, 01845, USA

    Norma Rueda

Authors
  1. Khadija Khazafi
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  2. Norma Rueda
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  3. Per Enflo
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Correspondence to Khadija Khazafi.

Additional information

The authors thank the referees for their many valuable comments and helpful suggestions which improved the presentation of the paper.

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Khazafi, K., Rueda, N. & Enflo, P. Sufficiency and duality for multiobjective control problems under generalized (B, ρ)-type I functions. J Glob Optim 46, 111–132 (2010). https://doi.org/10.1007/s10898-009-9412-4

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  • DOI: https://doi.org/10.1007/s10898-009-9412-4

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