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Perov type results in gauge spaces and their applications to integral systems on semi-axis

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Mathematica Slovaca

Abstract

In this paper we present Perov type fixed point theorems for contractive mappings in Gheorghiu’s sense on spaces endowed with a family of vector-valued pseudo-metrics. Applications to systems of integral equations are given to illustrate the theory. The examples also prove the advantage of using vector-alued pseudo-metrics and matrices that are convergent to zero, for the study of systems of equations.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Technical University of Cluj-Napoca, 26-28 George Bariţiu Street, 400027, Cluj-Napoca, Romania

    Adela Novac

  2. Department of Mathematics, Babeş-Bolyai University, 1 Mihail Kogălniceanu Street, 400084, Cluj-Napoca, Romania

    Radu Precup

Authors
  1. Adela Novac
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  2. Radu Precup
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Corresponding author

Correspondence to Adela Novac.

Additional information

Communicated by Emanuel Chetcuti

The second author was supported by a grant of the Romanian National Authority for Scientific Research, CNCS — UEFISCDI, project number PN-II-ID-PCE-2011-3-0094.

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Novac, A., Precup, R. Perov type results in gauge spaces and their applications to integral systems on semi-axis. Math. Slovaca 64, 961–972 (2014). https://doi.org/10.2478/s12175-014-0251-5

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  • DOI: https://doi.org/10.2478/s12175-014-0251-5

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