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Some generalized fixed point results in a b-metric space and application to matrix equations
Journal article   Open access  Peer reviewed

Some generalized fixed point results in a b-metric space and application to matrix equations

Hemant Kumar Pathak, Reny George, Hossam A. Nabwey, Mahdy S. El-Paoumy and Kaivatath Puthalath Reshma
Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2015(1), pp.1-17
01/07/2015
DOI: https://doi.org/10.1186/s13663-015-0343-0

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We have proved a generalized Presic-Hardy-Rogers contraction principle and Ciric-Presic type contraction principle for two mappings in a b-metric space. As an application, we derive some convergence results for a class of nonlinear matrix equations. Numerical experiments are also presented to illustrate the convergence algorithms.
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https://doi.org/10.1186/s13663-015-0343-0View
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