Relation Theoretic (Θ,R) Contraction Results with Applications to Nonlinear Matrix Equations

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ID: 271348
2018
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Abstract
Using the concept of binary relation R , we initiate a notion of Θ R -contraction and obtain some fixed point results for such mappings in the setting of complete metric spaces. Furthermore, we establish some new results of fixed points of N-order. Consequently, we improve and generalize the corresponding known fixed point results. As an application of our main result, we provide the existence of a solution for a class of nonlinear matrix equations. A numerical example is also presented to illustrate the theoretical findings.
Reference Key
al-sulami2018symmetryrelation Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Hamed H. Al-Sulami;Jamshaid Ahmad;Nawab Hussain;Abdul Latif;Al-Sulami, Hamed H.;Ahmad, Jamshaid;Hussain, Nawab;Latif, Abdul;
Journal Symmetry
Year 2018
DOI
10.3390/sym10120767
URL
https://doi.org/10.3390/sym10120767
Keywords
fixed point complete metric space Θr-contractions binary relation

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