We introduce new concepts of generalized contractive and generalized alpha-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 Ciric, Chatterjea, Kannan and Reich.
Hussain, N., Parvaneh, V., Samet, B., Vetro, C. (2015). Some fixed point theorems for generalized contractive mappings in complete metric spaces. FIXED POINT THEORY AND APPLICATIONS, 2015(1), 1-17 [10.1186/s13663-015-0433-z].
Some fixed point theorems for generalized contractive mappings in complete metric spaces
VETRO, Calogero
2015-01-01
Abstract
We introduce new concepts of generalized contractive and generalized alpha-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 Ciric, Chatterjea, Kannan and Reich.
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