0000000000985249

AUTHOR

Ljubomir ĆIrić

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Common fixed points of generalized contractions on partial metric spaces and an application

2011

Abstract In this paper, common fixed point theorems for four mappings satisfying a generalized nonlinear contraction type condition on partial metric spaces are proved. Presented theorems extend the very recent results of I. Altun, F. Sola and H. Simsek [Generalized contractions on partial metric spaces, Topology and its applications 157 (18) (2010) 2778–2785]. As application, some homotopy results for operators on a set endowed with a partial metric are given.

Discrete mathematicsPartial metric spaceHomotopy.Applied MathematicsInjective metric space010102 general mathematicsEquivalence of metricsCommon fixed point01 natural sciencesCoincidence pointConvex metric spaceIntrinsic metric010101 applied mathematicsComputational MathematicsMetric spaceSettore MAT/05 - Analisi MatematicaMetric (mathematics)Metric mapWeakly compatible pair of mapping0101 mathematicsMetric differentialMathematicsApplied Mathematics and Computation
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