6533b826fe1ef96bd1285122

RESEARCH PRODUCT

Weakly \varphi-pairs and common fixed points in cone metric spaces

Pasquale VetroCristina Di Bari

subject

Pure mathematicsGeneral MathematicsInjective metric spaceMathematical analysisCoincidence pointsFixed pointConvex metric spaceIntrinsic metricMetric spaceCommon fixed pointCone (topology)Settore MAT/05 - Analisi MatematicaWeakly \varphi-pairCone metric spaceUniquenessCoincidence pointMathematics

description

In this paper we introduce a weak contractive condition, called weakly \varphi-pair, for two mappings in the framework of cone metric spaces and we prove a theorem which ensures existence and uniqueness of common fixed points for such mappings. Also we obtain a result on points of coincidence. These results extend and generalize well-known comparable results in the literature.

yearjournalcountryeditionlanguage
2009-04-01
10.1007/s12215-009-0012-4http://hdl.handle.net/10447/40165