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RESEARCH PRODUCT

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

Francesca VetroFairouz TchierCalogero Vetro

subject

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 pointAnalysisMathematics

description

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.

https://doi.org/10.22436/jnsa.010.08.25