6533b861fe1ef96bd12c44e4

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

Calogero VetroBessem SametNawab HussainVahid Parvaneh

subject

Discrete mathematicsApplied MathematicsFixed-point theoremProduct metricFixed pointComplete metric spaceConvex metric spaceMetric spaceDifferential geometryfixed pointSettore MAT/05 - Analisi Matematicacomplete metric spaceweak C-contractionGeometry and TopologyCoincidence pointMathematics

description

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.

yearjournalcountryeditionlanguage
2015-10-09Fixed Point Theory and Applications
10.1186/s13663-015-0433-zhttp://dx.doi.org/10.1186/s13663-015-0433-z