Volume 25 , Issue 4 , PP: 399-407, 2025 | Cite this article as | XML | Html | PDF | Full Length Article
Raghad I. Sabri 1 , Jaafer Hmood Eidi 2 * , Hussein S. ALallak 3
Doi: https://doi.org/10.54216/IJNS.250433
This paper introduces a new class of mappings termed (α̂,β̂)−Ω-contraction mapping (briefly, "(α̂,β̂)−Ω−CMap") and establishes certain fixed-point (FP) results in the framework of Algebra fuzzy metric space. Additionally, we expanded our results to include the existence of a nonlinear integral equation solution. Results from this study improve, expand and generalization certain previously published results in the literature.
Algebra Fuzzy Metric Space , Fixed-point theorem , Contraction mapping , Cauchy sequence
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