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Semi-infinite Multiobjective Optimization

  • Ram U. VermaEmail author
Chapter
Part of the Infosys Science Foundation Series book series (ISFS)

Abstract

This chapter presents a significant theorem of the alternative [2] for a semi-infinite system of nonlinear equalities and inequalities along with a set of Karush–Kuhn–Tucker-type necessary efficiency conditions for a multiobjective optimization problem involving Hadamard directionally differentiable functions with infinitely many equality and inequality constraints defined on a normed linear space.

References

  1. 1.
    Luu, D., Hung, N.: On alternative theorems and necessary conditions for efficiency. Optimization 58, 49–62 (2009)CrossRefzbMATHMathSciNetGoogle Scholar
  2. 2.
    Zalmai, G.J., Zhang, Q.: Necessary efficiency conditions for semiinfinite multiobjective optimization problems involving Hadamard directionally differentiable functions. Trans. Math. Program. Appl. 1(1), 129–147 (2013)Google Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2017

Authors and Affiliations

  1. 1.Department of MathematicsTexas State UniversitySan MarcosUSA

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