Perov type results in gauge spaces and their applications to integral systems on semi-axis |
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| Authors: | Adela Novac Radu Precup |
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| Affiliation: | 1. Department of Mathematics, Technical University of Cluj-Napoca, 26-28 George Bari?iu Street, 400027, Cluj-Napoca, Romania
2. Department of Mathematics, Babe?-Bolyai University, 1 Mihail Kog?lniceanu Street, 400084, Cluj-Napoca, Romania
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| 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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