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

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

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, …