Fixed point theorems for two self-mappings with new contractive conditions in cone metric spaces

In this paper we investigate the existence and uniqueness of common fixed point for two commutative self-mappings that satisfy contractive conditions in complete cone metric spaces. Next, by omitting the commutative property of the mappings, we investigate a uniqueness point of coincidence and commo...

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Bibliographic Details
Published in:AIP conference proceedings 2022-12, Vol.2641 (1)
Main Authors: Sunarsini, Apriliani, E., Yunus, M.
Format: Article
Language:English
Subjects:
Fixed points (mathematics)
Metric space
Uniqueness
Online Access:Get full text
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Summary:In this paper we investigate the existence and uniqueness of common fixed point for two commutative self-mappings that satisfy contractive conditions in complete cone metric spaces. Next, by omitting the commutative property of the mappings, we investigate a uniqueness point of coincidence and common fixed point for two self-mappings in cone metric spaces. We use a new contractive conditions by referring to Radenović [10].
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0117975