Abstract
In this paper, we introduce the concept of alpha-psi-xi-contractive mappings and beta-psi-xi-contractive multifunctions and give some fixed point results for such mappings and multifunctions. We show that our fixed point result of alpha-psi-xi-contractive mappings is different from that of alpha-psi-contractive mappings which has been proved recently by Samet, Vetro and Vetro.