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- Title
Fixed Points and Continuity Conditions of Generalized b-Quasicontractions.
- Authors
Han, Yan; Xu, Shaoyuan
- 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.
- Subjects
BANACH algebras; BANACH spaces; CONTINUITY; CONES
- Publication
Journal of Function Spaces, 2022, p1
- ISSN
2314-8896
- Publication type
Article
- DOI
10.1155/2022/7861865