给出了具有图的扩展b度量空间中各种收缩的不动点结果

IF 1.4 Q2 MATHEMATICS, APPLIED

Results in Applied Mathematics Pub Date : 2025-02-01 DOI:10.1016/j.rinam.2024.100524

Neeraj Kumar , Seema Mehra , Dania Santina , Nabil Mlaiki

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引用次数: 0

摘要

收缩类型映射对于理解特定条件下的不动点理论至关重要。在一个扩大的b-度量空间中，我们提出了广义（Boyd-Wong）型A - F和（S - N）有理型收缩，它们用图形表示。同时，我们还给出广义（Boyd-Wong）型a - F -收缩在二维和三维上的对比。我们使用适当的插图来证明我们的结果的有效性和首要性。此外，我们还利用所得结论求解了Fredholm积分问题。

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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–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.

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来源期刊

Results in Applied Mathematics Mathematics-Applied Mathematics

CiteScore

3.20

自引率

10.00%

发文量

审稿时长

23 days