Search results for " solid cone"

showing 2 items of 2 documents

A coincidence-point problem of Perov type on rectangular cone metric spaces

2017

We consider a coincidence-point problem in the setting of rectangular cone metric spaces. Using alpha-admissible mappings and following Perov's approach, we establish some existence and uniqueness results for two self-mappings. Under a compatibility assumption, we also solve a common fixed-point problem.

Algebra and Number Theory010102 general mathematicsMathematical analysisGeometryType (model theory)01 natural sciencesRectangular cone metric space spectral radius solid cone g-contraction of Perov type -admissible mapping -g-contraction of Perov type010101 applied mathematicsMetric spaceCone (topology)Settore MAT/05 - Analisi MatematicaSettore MAT/03 - Geometria0101 mathematicsCoincidence pointAnalysisMathematicsThe Journal of Nonlinear Sciences and Applications
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Some common fixed point results for weakly compatible mappings in cone metric type space

2013

In this paper we consider cone metric type spaces which are introduced as a generalization of symmetric and metric spaces by Khamsi and Hussain in 2010. Then we prove several common fixed point for weakly compatible mappings in cone metric type spaces. All results are proved in the settings of a solid cone, without the assumption of continuity of the mappings.

Numerical AnalysisPure mathematicsControl and OptimizationAlgebra and Number TheoryWeakly compatibleType (model theory)Space (mathematics)Cone (topology)Settore MAT/05 - Analisi MatematicaMetric (mathematics)Common fixed pointDiscrete Mathematics and Combinatoricscone metric type space common fixed point coincidence point weakly compatible mappings solid coneAnalysisMathematics
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