Abstract
In the article, one formulates Fritz John type and Karush–Kuhn–Tucker type necessary conditions for an interval-valued vector equilibrium problem having a locally LU-efficient solution, where convexificators demonstrate the solutions that are regular. Sufficient conditions for a locally weak LU-efficient solution have been entrenched by imposing appropriate assumptions along with generalized convexity. Some applications are presented for a constrained interval-valued vector variational inequality and a constrained interval-valued vector optimization problem.
| Original language | English |
|---|---|
| Pages (from-to) | 688-711 |
| Number of pages | 24 |
| Journal | Kybernetika |
| Volume | 61 |
| Issue number | 5 |
| DOIs | |
| State | Published - Jan 2025 |
Bibliographical note
Publisher Copyright:© 2025, Institute of Information Theory and Automation of The Czech Academy of Sciences. All rights reserved.
Keywords
- convexificators
- interval-valued vector equilibrium problem
- locally LU-efficient solution
- optimality
ASJC Scopus subject areas
- Software
- Control and Systems Engineering
- Theoretical Computer Science
- Information Systems
- Artificial Intelligence
- Electrical and Electronic Engineering
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