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

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

Adela Novac
Department of Mathematics, Technical University of Cluj-Napoca, Cluj-Napoca, Romania

Radu Precup
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

tegral equation; gauge space; fixed point

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

https://www.degruyter.com/document/doi/10.2478/s12175-014-0251-5/pdf

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