Alpha-Psi Contractions on Generalized Metric Spaces

Abstract

In this work, we introduce the class of alpha-psi-Geraghty contraction as well as generalized alpha-psi-Geraghty contraction mappings in the context of generalized metric spaces where psi is an auxiliary function which does not require the subadditive property and set up some fixed point results for both classes individually. Our results will extend, improve and generalize several existing results in the literature.