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Common fixed points in cone metric spaces for CJM-pairs

Cristina Di BariPasquale VetroReza Saadati

subject

Cone metric spaces CJM-pairs Common fixed points Common coincidence points.Injective metric spaceMathematical analysisMathematics::General TopologyFixed pointComputer Science ApplicationsIntrinsic metricConvex metric spaceCombinatoricsMetric spaceCone (topology)Settore MAT/05 - Analisi MatematicaModeling and SimulationUniquenessCoincidence pointMathematics

description

Abstract In this paper we introduce some contractive conditions of Meir–Keeler type for two mappings, called f - M K -pair mappings and f - C J M -pair (from Ciric, Jachymski, and Matkowski) mappings, in the framework of regular cone metric spaces and we prove theorems which guarantee the existence and uniqueness of common fixed points. We give also a fixed point result for a multivalued mapping that satisfies a contractive condition of Meir–Keeler type. These results extend and generalize some recent results from the literature. To conclude the paper, we extend our main result to non-regular cone metric spaces by using the scalarization method of Du.

yearjournalcountryeditionlanguage
2011-11-01Mathematical and Computer Modelling
https://doi.org/10.1016/j.mcm.2011.05.043