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Journals / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2014 / Cilt: 4 - Sayı: 1

Vector optimization with cone semilocally preinvex functions

Surjeet Kaur SUNEJA
Meetu BHATİA
Pages
11–20
Publication Date
2022-10-11
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

A Mond-Weir type dual is formulated for the vector optimization problem and various duality theorems are proved

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we introduce cone semilocally preinvex, cone semilocally quasi preinvex and cone semilocally pseudo preinvex functions and study their properties.
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Key Findings & Data:These functions are further used to establish necessary and sufficient optimality conditions for a vector minimization problem over cones.
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Conclusion & Impact:A Mond-Weir type dual is formulated for the vector optimization problem and various duality theorems are proved
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper we introduce cone semilocally preinvex, cone semilocally quasi preinvex and cone semilocally pseudo preinvex functions and study their properties. These functions are further used to establish necessary and sufficient optimality conditions for a vector minimization problem over cones. A Mond-Weir type dual is formulated for the vector optimization problem and various duality theorems are proved

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Cite This Article

SUNEJA, S. K., BHATİA, M. (2022). Vector optimization with cone semilocally preinvex functions. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 4 - Sayı: 1, 11–20. https://ajindex.com/articles/440722

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