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- Title
Cyclic G‐Ω-Weak Contraction-Weak Nonexpansive Mappings and Some Fixed Point Theorems in Metric Spaces.
- Authors
Bakr, Sahar Mohamed Ali Abou
- Abstract
This paper introduces novel concepts of joint Y , Z cyclic G ‐ Ω S , T , a b e f -weak contraction and joint Y , Z cyclic G ‐ Ω S , T , a b e f -weak nonexpansive mappings and then proves the existence of a unique common fixed point of such mappings in case of complete and compact metric spaces, respectively, in particular, it proves the existence of a unique fixed point for both cyclic G ‐ Ω S , a b e f -weak contraction and cyclic G ‐ Ω S , a b e f -weak nonexpansive mappings, and hence, it also proves the existence of a unique fixed point for both cyclic Ω S , a b e f -weak contraction and cyclic Ω S , a b e f -weak nonexpansive mappings. The results of this research paper extend and generalize some fixed point theorems previously proved via the attached references.
- Subjects
NONEXPANSIVE mappings; FIXED point theory; METRIC spaces; COMPACT spaces (Topology)
- Publication
Abstract & Applied Analysis, 2021, p1
- ISSN
1085-3375
- Publication type
Article
- DOI
10.1155/2021/6642564