\(\varPhi -\)Weak Slater Constraint Qualification in Nonsmooth Multiobjective Semi-infinite Programming

  • Ali SadeghiehEmail author
  • David Barilla
  • Giuseppe Caristi
  • Nader Kanzi
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 991)


In this paper, we consider a nonsmooth multiobjective semi-infinite programming problem with a feasible set defined by inequality constraints. First we introduce the weak Slater constraint qualification, and derive the Karush-Kuhn-Tucker types necessary conditions for (weakly, properly) efficient solution of the considered problem. Then, we introduce a new gap function for the problem and state sufficient conditions for (weakly, properly) efficient solution of the problem via this gap function.


Semi-infinite programming Multiobjective optimization Constraint qualification Optimality conditions Gap function 


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of MathematicsIslamic Azad UniversityYazdIran
  2. 2.Department of EconomicsUniversity of MessinaMessinaItaly
  3. 3.Department of MathematicsPayam Noor UniversityTehranIran

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