Optimality conditions and duality in nondifferentiable minimax fractional programming with generalized convexity

  • I. Ahmad*
  • , Z. Husain
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

39 Scopus citations

Abstract

We establish sufficient optimality conditions for a class of nondifferentiable minimax fractional programming problems involving (F, α, ρ, d)-convexity. Subsequently, we apply the optimality conditions to formulate two types of dual problems and prove appropriate duality theorems.

Original languageEnglish
Pages (from-to)255-275
Number of pages21
JournalJournal of Optimization Theory and Applications
Volume129
Issue number2
DOIs
StatePublished - May 2006
Externally publishedYes

Keywords

  • Duality
  • Generalized convexity
  • Minimax fractional programming
  • Optimality conditions
  • Sublinear functionals

ASJC Scopus subject areas

  • Management Science and Operations Research
  • Control and Optimization
  • Applied Mathematics

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