Higher-Order Generalized InvexityAndStrict Minimizers In Vector Optimization Within Conic Spaces

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Mamta Chaudhary
Pardeep Kumar

Abstract

Optimisation theory is a cornerstone of engineering and technology, providing essential tools and methodologies for enhancing performance, efficiency, and functionality across various applications. This paper delves into the vector optimisation problem within the context of cones, a critical area that underpins many advanced engineering and technological processes. To this aim, Higher order Kstrict minimizers and higher order strongly K-non smooth invex functions and its generalizations are defined for a vector optimization problem over cones and Kuhn Tucker type necessary optimality condition are established for a K-strict minimizers of higher order. Further, these K-strict minimizers of higher order are characterized via sufficient optimality conditions by utilizing the above functions. Finally a Mond-Weir type dual is formulated and corresponding duality results are obtained.

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How to Cite
Mamta Chaudhary, & Pardeep Kumar. (2024). Higher-Order Generalized InvexityAndStrict Minimizers In Vector Optimization Within Conic Spaces. Educational Administration: Theory and Practice, 30(3), 2665–2673. https://doi.org/10.53555/kuey.v30i5.7509
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Author Biographies

Mamta Chaudhary

Department of Mathematics, Satyawati College, University of Delhi, Delhi - 110052, India.

Pardeep Kumar

Department of Mathematics, Indraprastha College for Women, University of Delhi, Delhi - 110054, India..