On Ekeland's variational principle for Pareto minima of set-valued mappings (Q430939)

In [J. Glob. Optim. 49, No. 3, 381--396 (2011; Zbl 1216.49018)] and [Nonlinear Anal. 73, No. 7, 2245--2259 (2010; Zbl 1194.58014)] the authors proposed a definition of a weak \(\tau \)-function. In the present paper, using this concept of weak \(\tau\)-function they get relaxed lower semicontinuity properties of a set-valued mapping and, imposing these semicontinuities, they establish sufficient conditions for the existence of minimal elements and strict minimal elements of a set. Then, enhanced versions of the Ekeland's Variational Principle for Pareto minimizers of a set-valued mapping are obtained.