## Abstract

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.

## Authors

**Adela Novac**

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

**Radu Precup**

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

## Keywords

tegral equation; gauge space; fixed point

## Paper coordinates

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

## About this paper

##### Journal

Journal Mathematica Slovaca

##### Publisher Name

De Gruyter Open Ltd.

##### Print ISSN

01399918

##### Online ISSN

13372211

google scholar link

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