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

Year, pages: 2014, 961 - 972

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-valued pseudo-metrics and matrices that are convergent to zero, for the study of systems of equations.

Novac, A., Precup, R. 2014. Perov type results in gauge spaces and their applications to integral systems on semi-axis. In Mathematica Slovaca, vol. 64, no.4, pp. 961-972. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0251-5

Novac, A., Precup, R. (2014). Perov type results in gauge spaces and their applications to integral systems on semi-axis. Mathematica Slovaca, 64(4), 961-972. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0251-5