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Article Dans Une Revue Set-Valued and Variational Analysis Année : 2022

On the Nonemptiness and Boundedness of Solution Sets of Weakly Homogeneous Optimization Problems

Trung-Hieu Vu
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Résumé

In this paper, we introduce a new class of optimization problems whose objective functions are weakly homogeneous relative to the constraint sets. By using the normalization argument in asymptotic analysis, we prove two criteria for the nonemptiness and boundedness of the solution set of a weakly homogeneous optimization problem. Moreover, the normalization argument enables us to study the existence and stability of the solution sets of linearly parametric optimization problems. Several examples are given to illustrate the derived results.
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Dates et versions

hal-03654665 , version 1 (28-04-2022)

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Citer

Trung-Hieu Vu. On the Nonemptiness and Boundedness of Solution Sets of Weakly Homogeneous Optimization Problems. Set-Valued and Variational Analysis, 2022, 30 (3), pp.1105-1116. ⟨10.1007/s11228-022-00637-0⟩. ⟨hal-03654665⟩
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