Asymptotic Analysis for a Class of Quasiconvex Semi-Infinite Programming Problems

Stephanie Caro () and Filip Thiele ()
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Stephanie Caro: Universidad Arturo Prat
Filip Thiele: Universidad de Concepción

Journal of Optimization Theory and Applications, 2025, vol. 207, issue 3, No 18, 24 pages

Abstract: Abstract We present sufficient conditions to guarantee the existence of solutions for nonconvex semi-infinite optimization problems. These conditions are also employed to establish the lower semicontinuity of the value function at 0. Furthermore, we extend classical results from convex analysis to characterize the global properties of quasiconvex functions based on their behavior at individual points. Our findings generalize and complement existing approaches, addressing problems that extend beyond the scope of previous results.

Keywords: Asymptotic analysis; Quasiconvexity; Nonconvex optimization; Semi-infinite programming; Zero duality gap; 90C26; 90C30; 90C34; 52A35; 49N15 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10957-025-02821-2

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