Some fixed point results concerning various contractions in extended b- metric space endowed with a graph

Contraction type mappings are crucial for understanding fixed point theory under specific conditions. We propose generalized (Boyd–Wong) type A F and (S - N) rational type contractions in an enlarged b-metric space which are represented by a graphically. Also, we gave a contrast of generalized (Boyd...

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Bibliographic Details
Published in:Results in applied mathematics 2025-03, Vol.25, p.100524, Article 100524
Main Authors: Kumar, Neeraj, Mehra, Seema, Santina, Dania, Mlaiki, Nabil
Format: Article
Language:English
Subjects:
Extended b- metric space
Fixed point
Generalized contraction
Integral equation
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Summary:Contraction type mappings are crucial for understanding fixed point theory under specific conditions. We propose generalized (Boyd–Wong) type A F and (S - N) rational type contractions in an enlarged b-metric space which are represented by a graphically. Also, we gave a contrast of generalized (Boyd–Wong) type A F — contraction in 2D and 3D. We use appropriate illustrations to demonstrate the validity and primacy of our outcomes. Additionally, we use our derived conclusions to solve the Fredholm integral problem.
ISSN:2590-0374
2590-0374
DOI:10.1016/j.rinam.2024.100524