On nondifferentiable second order symmetric duality in mathematical programming

I. Ahmad*, Z. Husain

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

Usual duality results are established for a pair of Wolfe type non-differentiable second order symmetric dual nonlinear programs. Then these are used to investigate symmetric duality for minimax version of nondiffereritiable second order symmetric dual models wherein some of the primal and dual variables are constrained to belong to some arbitrary sets, e.g., the sets of integers. Also self duality for this pair has been discussed.

Original languageEnglish
Pages (from-to)665-676
Number of pages12
JournalIndian Journal of Pure and Applied Mathematics
Volume35
Issue number5
StatePublished - May 2004
Externally publishedYes

Keywords

  • Minimax
  • Mixed integer programming
  • Nonlinear programming
  • Symmetric duality
  • η-Bonvexity

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics

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