Fixed points for generalized (Formula presented.)-contractions on generalized metric spaces

Abstract

In this paper, we introduce some generalized (Formula presented.)-contractive mappings in the setting of generalized metric spaces and, based on the very recent paper (Kirk and Shahzad in Fixed Point Theory Appl. 2013:129, 2013), we omit the Hausdorff hypothesis to prove some fixed point results involving such mappings. Some consequences on existing fixed point theorems are also derived. MSC:46T99, 47H10, 54H25.