Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2023 16 (4)
- Authors
- Laouadi, Besma; Taki Eddine Oussaeif; Benaoua, Leila; Guran, Liliana; Radenovic, Stojan
- Contact information
- Laouadi, Besma: Oum El Bouaghi University Oum El Bouaghi, Algeria; ; Taki Eddine Oussaeif: Oum El Bouaghi University Oum El Bouaghi, Algeria; ; Benaoua, Leila: Oum El Bouaghi University Oum El Bouaghi, Algeria; ; Guran, Liliana: Western University of Arad Vasile Goldis, Arad, Romania; ; Radenovic, Stojan: Faculty of Mechanical Engineering University of Belgrade Belgrade, Serbia;
- Keywords
- metric space; b-metric space; Picard sequence; Fixed point; Rational contraction mapping
- Abstract
In this paper, we improve and generalize several results in fixed point theory to the b-metric space. Where we confirm the existence of the fixed point for self mapping T satisfying some rational contractive conditions. Over-more, we establish the uniqueness of the fixed point in some cases and give dynamic information linking the fixed points between them in the other cases. Some illustrative examples are furnished, which demonstrate the validity of the hypotheses
- Pages
- 506–518
- EDN
- UOKGDT
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/150182
Journal of Siberian Federal University. Mathematics & Physics / Some New Fixed Point Results in b-metric Space with Rational Generalized Contractive Condition
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