In this paper, we introduce the concept of approximate solutions for set-valued mappings and provide a sufficient condition for the existence of approximate solutions of set-valued mappings. We obtain an approximate variational principle for set-valued mappings. Copyright Springer-Verlag Berlin...

In this paper, three equivalents of a corollary of the general approximate variational principle for set-valued maps which we obtained in [5] are derived. Applying a corollary of the general approximate variational principle, we obtain existence theorems for efficient solutions to vector...

In this paper, three equivalents of a corollary of the general approximate variational principle for set-valued maps which we obtained in [5] are derived. Applying a corollary of the general approximate variational principle, we obtain existence theorems for efficient solutions to vector...