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Fixed point theorems for b-generalized contractive mappings with weak continuity conditions.
- Source :
- AIMS Mathematics (2473-6988); 2024, Vol. 9 Issue 6, p15024-15039, 16p
- Publication Year :
- 2024
-
Abstract
- The purpose of this paper was to introduce several b-generalized contractive mappings in the framework of cone b-metric spaces over Banach algebras. The obtained contractions generalized and extended the counterparts in metric spaces, cone metric spaces, and b-metric spaces. Moreover, via weakening the completeness of the spaces, we gave some fixed point theorems for asymptotically regular mappings without considering the orbital continuity and k-continuity of the mappings. Those who need a specification is our results do not rely on the continuity of b-metric and the normality of cones. In addition, some nontrivial examples were presented to illustrate the superiority of our fixed point theorems. [ABSTRACT FROM AUTHOR]
- Subjects :
- BANACH algebras
BANACH spaces
FIXED point theory
METRIC spaces
Subjects
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 9
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- AIMS Mathematics (2473-6988)
- Publication Type :
- Academic Journal
- Accession number :
- 177553517
- Full Text :
- https://doi.org/10.3934/math.2024728