Cyclic G‐Ω-Weak Contraction-Weak Nonexpansive Mappings and Some Fixed Point Theorems in Metric Spaces

This paper introduces novel concepts of joint Y,Z cyclic G‐ΩS,T,abef-weak contraction and joint Y,Z cyclic G‐ΩS,T,abef-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,...

Full description

Saved in:
Bibliographic Details
Published in:Abstract and applied analysis 2021, Vol.2021, p.1-9
Main Author: Bakr, Sahar Mohamed Ali Abou
Format: Article
Language:English
Subjects:
Banach spaces
Fixed points (mathematics)
Metric space
Scientific papers
Theorems
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper introduces novel concepts of joint Y,Z cyclic G‐ΩS,T,abef-weak contraction and joint Y,Z cyclic G‐ΩS,T,abef-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‐ΩS,abef-weak contraction and cyclic G‐ΩS,abef-weak nonexpansive mappings, and hence, it also proves the existence of a unique fixed point for both cyclic ΩS,abef-weak contraction and cyclic ΩS,abef-weak nonexpansive mappings. The results of this research paper extend and generalize some fixed point theorems previously proved via the attached references.
ISSN:1085-3375
1687-0409
DOI:10.1155/2021/6642564