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,...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2021/6642564 |
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| 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. |
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| ISSN: | 1085-3375 1687-0409 |