Generalized fixed point results of rational type contractions in partially ordered metric spaces

We investigated the existence and uniqueness of a fixed point for the mapping satisfying generalized rational type contraction conditions in metric space endowed with partial order. Suitable examples are presented to justify the results obtained. Some new fixed point results have been obtained for a...

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Bibliographic Details
Published in:BMC research notes 2021-10, Vol.14 (1), p.1-390, Article 390
Main Authors: Seshagiri Rao, N, Kalyani, K
Format: Article
Language:English
Subjects:
Analysis
Contraction
Contraction operators
Fixed point
Fixed point theory
Generalized rational contractions
Integral contractions
Mapping
Metric spaces
Ordered relation
Partially ordered metric spaces
Research Note
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Summary:We investigated the existence and uniqueness of a fixed point for the mapping satisfying generalized rational type contraction conditions in metric space endowed with partial order. Suitable examples are presented to justify the results obtained. Some new fixed point results have been obtained for a mapping fulfilling generalized contractions. The uniqueness of the fixed point is also the part of the study based on an ordered relation. One example is given for a result which is not valid in the usual metric space.
ISSN:1756-0500
1756-0500
DOI:10.1186/s13104-021-05801-7