Abstract
We analyze the behavior of the feasible set in one class of semi-infinite optimization problems, inspired of an approximation of a given function, by means of functions belonging to a Haar space. We present a necessary and sufficient condition for the unicity of the approximation function from the Haar space. Continuity properties of the feasible set mapping have been investigated, as well.
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This work was partially supported by CONACyT of Mexico.
The authors would like to thank to the anonymous referees for their valuable help improving this manuscript
On leave from IMI-BAS, Sofoa, Bulgaria.
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Juárez, E.L., Todorov, M.I. Characterization of the feasible set mapping in one class of semi-infinite optimization problems. Top 12, 135–147 (2004). https://doi.org/10.1007/BF02578928
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DOI: https://doi.org/10.1007/BF02578928
Key Words
- Semi-infinite optimization
- stability theory
- linear inequality systems
- feasible set mapping
- upper semicontinuity
- Haar system