Approximate optimality conditions and approximate duality theorems for nonlinear semi-infinite programming problems with uncertainty data

• Thanh-Hung Pham ^[1]
  1. [1] Faculty of Pedagogy and Faculty of Social Sciences and Humanities, Kien Giang University
• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 80, Nº. 1, 2023, págs. 111-129
• Idioma: inglés
• DOI: 10.1007/s40324-021-00276-9
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• Resumen

  • In this paper, we establish optimality conditions and duality theorems for a robust -quasi solution of a nonsmooth semi-infinite programming problem with data uncertainty in both the objective and constraints. Next, we provide an application to nonsmooth fractional semi-infinite optimization problem with data uncertainty in constraints. Finally, some examples are given to illustrate the obtained results.