An Ekeland type variational principle on gauge spaces with applications to fixed point theory, drop theory and coercivity

摘要

In this paper, a new Ekeland type variational principle on gauge spaces is established. As applications, we give Caristi-Kirk type fixed point theorems on gauge spaces, and Dane{s}' drop theorem on semi-normed spaces. Also, we show that the Palais-Smale condition implies coercivity on semi-normed spaces.