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; Kaivatath Puthalath Reshma

doi:10.1186/s13663-015-0343-0

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
, Kaivatath Puthalath Reshma

Mathematics

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

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.

Original language	English
Article number	101
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2015
Issue number	1
DOIs	https://doi.org/10.1186/s13663-015-0343-0
State	Published - 2 Dec 2015

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47H10

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10.1186/s13663-015-0343-0

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abstract = "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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AU - Reshma, Kaivatath Puthalath

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N2 - 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.

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

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