Fixed point results for (ζ,η)-weakly cyclic generalized contraction mappings in b-metric spaces

The present study introduces ( ζ , η ) -weakly cyclic generalized contraction mappings in the context of b-metric spaces and investigates results of fixed-point for it. Our findings extend and generalize a large number of relevant fixed-point results from the current literature. Examples are provide...

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Bibliographic Details
Published in:Fixed point theory and algorithms for sciences and engineering Vol. 2025; no. 1; pp. 27 - 19
Main Authors: Lemessa, Nigussa, Koyas, Kidane
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 23.09.2025
Springer Nature B.V
SpringerOpen
Subjects:
( ζ , η ) $(\zeta , \eta )$ -weakly cyclic generalized contraction
Altering distance function
Analysis
Applications of Mathematics
Cyclic map
Differential Geometry
Fixed point
Fredholm equations
Integral equations
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Metric space
Topology
47H10
Cyclic map
Altering distance function
Fixed point
weakly cyclic generalized contraction
54H25
ISSN:2730-5422, 2730-5422
Online Access:Get full text
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Summary:The present study introduces ( ζ , η ) -weakly cyclic generalized contraction mappings in the context of b-metric spaces and investigates results of fixed-point for it. Our findings extend and generalize a large number of relevant fixed-point results from the current literature. Examples are provided to support the validity of our findings. Finally, we apply our findings to demonstrate the existence and uniqueness of a solution for a non-linear Fredholm integral equation.
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ISSN:2730-5422
2730-5422
DOI:10.1186/s13663-025-00803-7