Work

Parametric semi-infinite programming problems: properties of solution functions

Year: 2026

Type: article

Abstract: We study sensitivity and asymptotic behavior of solutions to parametric convex semi-infinite programming problems with compact polyhedral index sets. We analyze properties of optimal solutions, Lagrange multipliers, and active sets as the parameter approaches a nominal value. Under standard smoothness, convexity, and constraint qualification assumptions, we characterize the limits and first-order derivatives of the associated primal and dual mappings.

Source: Proceedings of the Institute of Mathematics of the NAS of Belarus

DOI: 10.67268/1812-5093-2026-34-1s-32-49

Authors: O. I. Kostyukova, T. V. Tchemisova

Institutions: National Academy of Sciences of Belarus, Institute of Mathematics, University of Aveiro

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W7225590546

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Cites: 19

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Related to: 10