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

Sahar Mohamed Ali Abou Bakr

Abstract and Applied Analysis, 2021, vol. 2021, issue 1

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.

Date: 2021
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https://doi.org/10.1155/2021/6642564

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2021:y:2021:i:1:n:6642564

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