Image Space Analysis and Scalarization for ε-Optimization of Multifunctions



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.


C-multifunction Image space analysis Scalarization of vector ε-optimization ε-superefficiency 


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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of IsfahanIsfahanIran
  2. 2.Department of MathematicsSheikhbahaee University and University of IsfahanIsfahanIran

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