Optimality analysis and duality conditions for a class of conic semi-infinite program having vanishing constraints

Tamanna Yadav (), S. K. Gupta () and Sumit Kumar ()
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Tamanna Yadav: Indian Institute of Technology Roorkee
S. K. Gupta: Indian Institute of Technology Roorkee
Sumit Kumar: Indian Institute of Managment Udaipur

Annals of Operations Research, 2024, vol. 340, issue 2, No 14, 1123 pages

Abstract: Abstract This work focuses on a non-smooth conic semi-infinite programming problem having vanishing constraints. Using the limiting constraint qualification, we establish a necessary optimality condition for the optimization model. Subsequently, the concept of generalized convexity over cones is introduced, followed by the development of sufficient optimality conditions. Wolfe’s and Mond-Weir type dual models are also formulated for the considered semi-infinite optimization problem, and weak, strong and converse duality results are established under generalized Q-convexity/ pseudoconvexity/Q-quasiconvexity assumptions. The article incorporates numerical illustrations at appropriate places to validate the results.

Keywords: Semi-infinite optimization; Generalized convexity; Vanishing constraints; Generalized quasiconvexity; Optimality conditions; Duality; 90C34; 49N15; 49J52 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10479-024-05907-8

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