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Exact l $_{1}$ penalty function for nonsmooth multiobjective interval-valued problems

Julie Khatri; Ashish Kumar Prasad — 2024

Kybernetika

Our objective in this article is to explore the idea of an unconstrained problem using the exact l $_{1}$ penalty function for the nonsmooth multiobjective interval-valued problem (MIVP) having inequality and equality constraints. First of all, we figure out the KKT-type optimality conditions for the problem (MIVP). Next, we establish the equivalence between the set of weak LU-efficient solutions to the problem (MIVP) and the penalized problem (MIVP $_{ρ}$ ) with the exact l $_{1}$ penalty function. The utility of...

Optimality conditions for an interval-valued vector problem

Ashish Kumar Prasad; Julie Khatri; Izhar Ahmad — 2025

Kybernetika

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.

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Exact l 1 penalty function for nonsmooth multiobjective interval-valued problems

Optimality conditions for an interval-valued vector problem

Exact l $_{1}$ penalty function for nonsmooth multiobjective interval-valued problems