On symmetric duality in nondifferentiable mathematical programming with F-convexity

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

Research output: Contribution to journalReview articlepeer-review

2 Scopus citations

Abstract

Usual symmetric duality results are proved for Wolfe and Mond -Weir type nondifferentiable nonlinear symmetric dual programs under F-convexity F-concavity and F-pseudoconvexity F-pseudoconcavity assumptions. These duality results are then used to formulate Wolfe and Mond-Weir type nondifferentiable minimax mixed integer dual programs and symmetric duality theorems are established. Moreover, nondifferentiable fractional symmetric dual programs are studied by using the above programs.

Original languageEnglish
Pages (from-to)371-384
Number of pages14
JournalJournal of Applied Mathematics and Computing
Volume19
Issue number1-2
DOIs
StatePublished - Sep 2005
Externally publishedYes

Keywords

  • F-convexity
  • Integer programming
  • Minimax programming
  • Nondifferentiable programming
  • Symmetric duality

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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