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Common fixed points for self-mappings on partial metric spaces

Cristina Di BariMarija MilojevićPasquale VetroStojan Radenović

subject

Discrete mathematicsInjective metric spaceApplied Mathematics010102 general mathematicsEquivalence of metricscommon fixed point01 natural sciencesConvex metric spaceIntrinsic metric010101 applied mathematicsMetric spacepoints of coincidence0-complete partial metric spaceSettore MAT/05 - Analisi Matematicaψ-contractions.Metric (mathematics)Metric mapGeometry and Topology0101 mathematicsCoincidence pointMathematics

description

Abstract In this paper, we prove some results of a common fixed point for two self-mappings on partial metric spaces. Our results generalize some interesting results of Ilić et al. (Appl. Math. Lett. 24:1326-1330, 2011). We conclude with a result of the existence of a fixed point for set-valued mappings in the context of 0-complete partial metric spaces. MSC:54H25, 47H10.

10.1186/1687-1812-2012-140http://dx.doi.org/10.1186/1687-1812-2012-140