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- Title
A Study on Common Fixed Point of Joint A;B Generalized Cyclic ϕ−abc Weak Nonexpansive Mappings and Generalized Cyclic abc;r Contractions in Quasi Metric Spaces.
- Authors
Bakr, Sahar Mohamed Ali Abou
- Abstract
This manuscript proves the existence of a single common fixed point of two joint A , B generalized cyclic ϕ − a b c weak nonexpansive mappings, where A and B are compact sets. The result in particular demonstrated a single fixed point of generalized cyclic ϕ − a b c weak nonexpansive mappings, without the assumption of a single contracting point. Additionally, it introduces new types of generalized cyclic a b c ; r contraction mappings and describes the existence of a single fixed point of them in b -metric spaces. Finally, the presented results establish a simpler convergence theorem for a sequence of generalized cyclic a b c ; r contraction mappings, extend, and generalize some of the previous reported results.
- Subjects
NONEXPANSIVE mappings; METRIC spaces; FIXED point theory; CONTRACTIONS (Topology)
- Publication
Abstract & Applied Analysis, 2020, p1
- ISSN
1085-3375
- Publication type
Article
- DOI
10.1155/2020/9427267