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Fixed Points and Continuity Conditions of Generalized b-Quasicontractions.
- Source :
-
Journal of Function Spaces . 7/4/2022, p1-10. 10p. - Publication Year :
- 2022
-
Abstract
- In this research, we first check that the abstract cone b -metric is discontinuous in the case of normal cone by a counter example. We obtain several meaningful results about generalized b -quasicontraction and Ćirić-type b -quasicontraction in cone b -metric spaces over Banach algebras, weakening certain important conditions of the spaces and the mappings. Meanwhile, several valid examples are given to demonstrate the new notions and fixed point results, when the existing theorems in the literature are not applicable. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BANACH algebras
*BANACH spaces
*CONTINUITY
*CONES
Subjects
Details
- Language :
- English
- ISSN :
- 23148896
- Database :
- Academic Search Index
- Journal :
- Journal of Function Spaces
- Publication Type :
- Academic Journal
- Accession number :
- 157800596
- Full Text :
- https://doi.org/10.1155/2022/7861865