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

Mohamed Ali Abou Bakr, Sahar;

Abstract


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.


Other data

Title Cyclic G-Ω -Weak Contraction-Weak Nonexpansive Mappings and Some Fixed Point Theorems in Metric Spaces
Authors Mohamed Ali Abou Bakr, Sahar 
Issue Date 1-Jan-2021
Journal Abstract and Applied Analysis 
Volume 2021
ISSN 10853375
DOI 10.1155/2021/6642564
Scopus ID 2-s2.0-85107219375

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