Optimality conditions for an interval-valued vector problem

Ashish Kumar Prasad; Julie Khatri; Izhar Ahmad

Kybernetika (2025)

  • Issue: 2, page 221-237
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Prasad, Ashish Kumar, Khatri, Julie, and Ahmad, Izhar. "Optimality conditions for an interval-valued vector problem." Kybernetika (2025): 221-237. <http://eudml.org/doc/299984>.

@article{Prasad2025,
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 $\mathfrak \{F\}$-convexity in connection with compact convex sets. Subsequently, sufficient optimality conditions are extrapolated under aforesaid quasidifferentiability supported by a suitable numerical example.},
author = {Prasad, Ashish Kumar, Khatri, Julie, Ahmad, Izhar},
journal = {Kybernetika},
keywords = {interval-valued vector optimization problem; quasidifferentiable $\mathfrak \{F\}$-convexity; LU-Pareto optimality},
language = {eng},
number = {2},
pages = {221-237},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Optimality conditions for an interval-valued vector problem},
url = {http://eudml.org/doc/299984},
year = {2025},
}

TY - JOUR
AU - Prasad, Ashish Kumar
AU - Khatri, Julie
AU - Ahmad, Izhar
TI - Optimality conditions for an interval-valued vector problem
JO - Kybernetika
PY - 2025
PB - Institute of Information Theory and Automation AS CR
IS - 2
SP - 221
EP - 237
AB - 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 $\mathfrak {F}$-convexity in connection with compact convex sets. Subsequently, sufficient optimality conditions are extrapolated under aforesaid quasidifferentiability supported by a suitable numerical example.
LA - eng
KW - interval-valued vector optimization problem; quasidifferentiable $\mathfrak {F}$-convexity; LU-Pareto optimality
UR - http://eudml.org/doc/299984
ER -

References

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