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Common fixed points for self mappings on compact metric spaces

Cristina Di BariPasquale Vetro

subject

Pure mathematicsApplied MathematicsInjective metric spaceFixed-point propertyTopologyIntrinsic metricConvex metric spaceComputational MathematicsUniform continuityMetric spaceRelatively compact subspaceSettore MAT/05 - Analisi MatematicaCompact metric spaces Common fixed points Suzuki fixed point theorem Scalarization Cone metric spacesMetric mapMathematics

description

In this paper we obtain a result of existence of points of coincidence and of common fixed points for two self mappings on compact metric spaces satisfying a contractive condition of Suzuki type. We also present some examples to illustrate our results. Moreover, using the scalarization method of Du, we deduce a result of common fixed point in compact cone metric spaces.

yearjournalcountryeditionlanguage
2013-02-01Applied Mathematics and Computation
https://doi.org/10.1016/j.amc.2013.01.022