OPTIMALITY CONDITIONS FOR AN INTERVAL-VALUED VECTOR PROBLEM

  • Ashish Kumar Prasad
  • , Julie Khatri*
  • , Izhar Ahmad
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The present article considers a nonsmooth interval-valued vector optimization problem with inequality constraints. We first figure out Fritz John and Karush–Kuhn–Tucker type necessary optimality conditions for the interval-valued problem designed in the paper under quasidifferentiable F-convexity in connection with compact convex sets. Subsequently, sufficient optimality conditions are extrapolated under aforesaid quasidifferentiability supported by a suitable numerical example.

Original languageEnglish
Pages (from-to)221-237
Number of pages17
JournalKybernetika
Volume61
Issue number2
DOIs
StatePublished - 2025

Bibliographical note

Publisher Copyright:
© 2025 Institute of Information Theory and Automation of The Czech Academy of Sciences. All rights reserved.

Keywords

  • LU-Pareto optimality
  • interval-valued vector optimization problem
  • quasidifferentiable F-convexity

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Theoretical Computer Science
  • Information Systems
  • Artificial Intelligence
  • Electrical and Electronic Engineering

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