Search results for "increasing mapping"

showing 2 items of 2 documents

Construction of chaotic dynamical system

2010

The first‐order difference equation xn+ 1 = f(xn ), n = 0,1,…, where f: R → R, is referred as an one‐dimensional discrete dynamical system. If function f is a chaotic mapping, then we talk about chaotic dynamical system. Models with chaotic mappings are not predictable in long‐term. In this paper we consider family of chaotic mappings in symbol space S 2. We use the idea of topological semi‐conjugacy and so we can construct a family of mappings in the unit segment such that it is chaotic. First published online: 09 Jun 2011

Discrete mathematicsPure mathematicsincreasing mappingDifferential equationChaoticinfinite symbol spaceBinary numberFunction (mathematics)Space (mathematics)Nonlinear Sciences::Chaotic Dynamicstopological semi‐conjugacyModeling and SimulationQA1-939Orbit (dynamics)chaotic mappingbinary expansionUnit (ring theory)MathematicsAnalysisMathematicsCoupled map latticeMathematical Modelling and Analysis
researchProduct

Coincidence and fixed points for contractions and cyclical contractions in partial metric spaces

2012

Abstract We prove some coincidence and common fixed point results for three mappings satisfying a generalized weak contractive condition in ordered partial metric spaces. As application of the presented results, we give a unique fixed point result for a mapping satisfying a weak cyclical contractive condition. We also provide some illustrative examples. MSC:47H10, 54H25.

Discrete mathematicscyclic weak (ψϕ)-contractionApplied Mathematicspartial metric spacecommon fixed pointFixed pointcompatible mappingCoincidenceweakly increasing mappingsMetric spacecoincidence pointDifferential geometrySettore MAT/05 - Analisi MatematicaCommon fixed pointGeometry and TopologyCoincidence pointTopology (chemistry)MathematicsFixed Point Theory and Applications
researchProduct