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Multi-valued \(F\)-contractions in 0-complete partial metric spaces with application to Volterra type integral equation

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Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas Aims and scope Submit manuscript

Abstract

We study the existence of fixed points for multi-valued mappings that satisfy certain generalized contractive conditions in the setting of 0-complete partial metric spaces. We apply our results to the solution of a Volterra type integral equation in ordered 0-complete partial metric spaces.

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Acknowledgments

The authors would like to thank the editors and anonymous reviewers for their constructive comments, which contributed to improve the final version of the paper. The second author was supported by Università degli Studi di Palermo, Local University Project R. S. ex 60 %.

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  1. Dipartimento di Matematica e Informatica, Università degli Studi di Palermo, Via Archirafi 34, 90123 , Palermo, Italy

    Daniela Paesano & Calogero Vetro

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  1. Daniela Paesano
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  2. Calogero Vetro
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Correspondence to Calogero Vetro.

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Paesano, D., Vetro, C. Multi-valued \(F\)-contractions in 0-complete partial metric spaces with application to Volterra type integral equation. RACSAM 108, 1005–1020 (2014). https://doi.org/10.1007/s13398-013-0157-z

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  • DOI: https://doi.org/10.1007/s13398-013-0157-z

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