Some fixed point theorems for generalized contractive mappings in complete metric spaces

By Nawab Hussain, Vahid Parvaneh, Bessem Samet, Calogero Vetro. Fixed Point Theory and Applications, 2015

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We introduce new concepts of generalized contractive and generalized α-Suzuki type contractive mappings. Then, we obtain sufficient conditions for the existence of a fixed point of these classes of mappings on complete metric spaces and b-complete b-metric spaces. Our results extend the theorems of Ćirić, Chatterjea, Kannan and Reich.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/b0834aa7765e4c4e9f316c003edfff06d27aeec5