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LOCAL ISOLATED EFFICIENCY IN NON-SMOOTH ROBUST SEMI-INFINITE MULTI-OBJECTIVE FRACTIONAL PROGRAMMING PROBLEMS

  • Fatima Alnabbat*
  • , Izhar Ahmad
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

This paper considers a non-smooth semi-infinite multi-objective fractional programming problem under uncertain data constraints. The non-smooth robust necessary optimality conditions for a local isolated efficient solution of the considered problem and its non-smooth parametric problem, formulated in the generalized Dinkelbach approach, is investigated under an extended form of a robust type constraint qualification. Finally, with the assumption of generalized convexity, the non-smooth robust sufficient optimality conditions are established.

Original languageEnglish
Pages (from-to)3072-3088
Number of pages17
JournalJournal of Industrial and Management Optimization
Volume20
Issue number10
DOIs
StatePublished - Oct 2024

Bibliographical note

Publisher Copyright:
© (2024), American Institute of Mathematical Sciences.

Keywords

  • Non-smooth semi-infinite multi-objective fractional program
  • clarke subdifferential
  • generalized convexity
  • isolated efficient solution
  • robust optimality conditions

ASJC Scopus subject areas

  • Business and International Management
  • Strategy and Management
  • Control and Optimization
  • Applied Mathematics

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