6533b855fe1ef96bd12b1270

RESEARCH PRODUCT

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

Bessem SametCalogero VetroLjubomir ĆIrićHassen Aydi

subject

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 differentialMathematics

description

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.

yearjournalcountryeditionlanguage
2011-11-01Applied Mathematics and Computation
https://doi.org/10.1016/j.amc.2011.07.005