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Afrika Matematika

, Volume 29, Issue 1–2, pp 175–193 | Cite as

Fixed points for generalized contractions via rational expressions in partially ordered b-metric spaces and applications to integral equations

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Abstract

The purpose of this paper is to give some fixed point results for mappings involving generalized \((\psi ,\varphi )\)-contractions via rational expressions in the setup of partially ordered b-metric spaces. Our main results extend, generalize and enrich several well known comparable results in the recent literature. Moreover, some examples and an application to integral equation are given here to illustrate the usability of the obtained results.

Keywords

b-metric space Partially ordered set Fixed point Rational type generalized contraction 

Mathematics Subject Classification

Primary 47H10 Secondary 05C40 54H25 

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Copyright information

© African Mathematical Union and Springer-Verlag GmbH Deutschland 2017

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of Mathematical Sciences and ComputerKharazmi UniversityTehranIran

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