Approximate solutions of quasiequilibrium problems in Banach spaces

Marco Castellani, Massimiliano Giuli

Published 2015-04-06Version 1

In this note we show that a recent existence result on quasiequilibrium problems, which seems to improve deeply some well-known results, is not correct. We exhibit a counterexample and we furnish a generalization of a lemma about continuous "-minimizers of quasiconvex functions depending on a parameter. This allows to establish an existence result of approximate solutions of quasiequilibrium problems.