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Some remarks on expansive mappings in metric spaces.

Authors :
POPESCU, OVIDIU
PĂCURAR, CRISTINA MARIA
Source :
Carpathian Journal of Mathematics; 2024, Vol. 40 Issue 3, p717-725, 9p
Publication Year :
2024

Abstract

The aim of this paper is to generalize the results on expansive mappings of Yesilkaya and Aydin from Fixed Point Results of Expansive Mappings in Metric Spaces [see Yesilkaya, S. S.; Aydin, C. Fixed Point Results of Expansive Mappings in Metric Spaces. Mathematics 8 (2020), 1800]. In the present paper we show that the conditions imposed on the function 9 can be relaxed. Thus, we present more general fixed point results for q-expansive mappings in metric spaces and prove some fixed point theorems for this class of mappings, via a different approach. Finally, we present some examples to support the new results. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
METRIC spaces
FIXED point theory

Details

Language :
English
ISSN :
15842851
Volume :
40
Issue :
3
Database :
Complementary Index
Journal :
Carpathian Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
176975940
Full Text :
https://doi.org/10.37193/CJM.2024.03.11