Ekeland variational principles for bifunctions via algebraic concepts in the image space
J. L. Ródenas, C. Gutiérrez Vaquero, V. Novo Sanjurjo
The aim of this talk is to show Ekeland variational principles for vector-valued bifunctions from a metric space to a real linear space which is not endowed with any topology. These results are based on a scalarization approach whose main mathematical tools are a new concept of approximate solution of vector equilibrium problems and a new lower semicontinuity notion that is defined by an algebraic counterpart of the topological closure. By means of this approach, the role of some usual assumptions in this kind of variational principles —namely the triangle inequality property and the diagonal null condition— is clarified and many of these results in the literature are encompassed and extended.
Palabras clave / Keywords: vector equilibrium problem, Ekeland variational principle, approximate solution, vector closure, lower semicontinuity, diagonal null bifunction, triangle inequality property
Programado
Sesión GT11-3: Optimización Continua-3 (OPTIMIZACIÓN-3). Organizador: César Gutiérrez Vaquero
29 de mayo de 2018 12:20
Sala 6
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