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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.

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  1. Department of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi University, 50, Taleghani Ave., 15618, Tehran, Iran

    Mina Dinarvand

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  1. Mina Dinarvand
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Dinarvand, M. Fixed points for generalized contractions via rational expressions in partially ordered b-metric spaces and applications to integral equations. Afr. Mat. 29, 175–193 (2018). https://doi.org/10.1007/s13370-017-0533-5

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