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

Fixed Point Theory and Applications (2015) 2015(1)
DOI: 10.1186/s13663-015-0433-z
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Abstract

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.

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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). https://doi.org/10.1186/s13663-015-0433-z

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