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
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|---|---|
| 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
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| URL | |
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