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Fixed point results for non-self operators R₊^{m}-metric spaces

Abstract

The purpose of this paper is to discuss some problems of the fixed point theory for non-self operators on {\mathbb R}^m_+-metric spaces. The results complement and extend some known results given in the paper: A. Chis-Novac, R. Precup, I.A. Rus, Data dependence of fixed points for non-self generalized contractions, Fixed Point Theory, 10(2009), No. 1, 73–87.

Authors

Diana Otrocol
Technical University of Cluj-Napoca, Department of Mathematics, Cluj-Napoca, Romania
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, Romania

Veronica Ilea
Babes–Bolyai University, Department of Mathematics, Cluj-Napoca, Romania

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

Keywords

{\mathbb R}^m_+–metric spaces; fixed point; Picard operator; non-self operator; data dependence of the fixed point.

Paper coordinates

D. Otrocol, V. Ilea, A. Novac, Fixed point results for non-self operators R₊m-metric spaces, Fixed Point Theory, 26 (2025) no. 1, 177-188,
https://doi.org/10.24193/fpt-ro.2025.1.10

PDF

freely available at the publisher

About this paper

Journal

Fixed Point Theory

Publisher Name

House of the Book of Science Cluj-Napoca, Romania

Print ISSN

1583-5022

Online ISSN

2066-9208

google scholar link

2025

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