Cyclic - 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, 1-9

Abstract:

This paper introduces novel concepts of joint cyclic - weak contraction and joint cyclic - 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 - weak contraction and cyclic - weak nonexpansive mappings, and hence, it also proves the existence of a unique fixed point for both cyclic - weak contraction and cyclic - 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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:6642564

DOI: 10.1155/2021/6642564

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