On the symmetric vector quasi-equilibrium problem via nonlinear scalarization method. (English) Zbl 1413.42062
Summary: The aim of this paper, among other things, is, using a nonlinear scalarization function and its properties, to study an existence theorem for a solution of SVQEP in the setting of real topological vector space. One can consider this note as a new version of the reference A. Calogero [J. Geom. Anal. 10, No. 4, 597–622 (2000; Zbl 1057.42025)] by replacing a nonlinear scalarization function by a linear functional.
MSC:
| 42C40 | Nontrigonometric harmonic analysis involving wavelets and other special systems |
