Sufficient optimality, duality and saddle point analysis in terms of convexificators for nonsmooth robust fractional interval-valued optimization problems

  • Krishna Kummari*
  • , Rekha R. Jaichander
  • , Izhar Ahmad
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

In this study, sufficient optimality criteria for a robust fractional interval-valued optimization problem (RP) is highlighted based on the idea of convexificators. The use of generalized invexity tools to support sufficient optimality conditions is demonstrated by an example. Also, saddle point condition of a Lagrange function is examined for RP. Furthermore, Mond–Weir-type robust dual model is constructed and by employing the concept of generalized invexity, usual duality results are discussed.

Original languageEnglish
Article number2450020
JournalAsian-European Journal of Mathematics
Volume17
Issue number2
DOIs
StatePublished - 1 Feb 2024

Bibliographical note

Publisher Copyright:
© World Scientific Publishing Company.

Keywords

  • Convexificator
  • Lagrange functions
  • optimality and duality for fractional programming
  • robust optimization
  • saddle point

ASJC Scopus subject areas

  • General Mathematics

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