Iterative Approaches to Multiple Fixed Points in Generalized Metric Spaces
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i3.6256Keywords:
Fixed point,, Iterative methods, , Generalized metricAbstract
We combine the concept of having multiple fixed points for a mapping with the approach of obtaining these points through iterative methods. As is well known, contraction self-mappings in standard metric spaces yield unique fixed points that can be obtained iteratively. To overcome this limitation, we conduct our study within the framework of generalized MP-metric spaces, utilizing their properties and the broader concept of limits. This enables us to establish our main result: the existence of multiple fixed points that can be iteratively obtained for generalized contraction mappings satisfying specific conditions.
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