Fixed point results for almost Z-contractions in partial b-metric spaces via simulation function

G. Saluja
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Abstract

In this paper, we investigate the existence and uniqueness of a fixed point of almost Z-contractions via simulation function in complete partial b-metric spaces using (α, β)-admissibility. Also, some illustrative examples are given to validate the results. Furthermore, an application to the BVP is given. Our results extend and generalize several previous works from the existing literature.
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通过模拟函数求部分 b-metric空间中几乎 Z-收缩的定点结果
本文利用 (α, β)-容许性,研究了在完全偏 b-度量空间中通过模拟函数的几乎 Z-契约定点的存在性和唯一性。此外,还给出了一些示例来验证结果。此外,还给出了对 BVP 的应用。我们的结果扩展并概括了现有文献中的一些前人成果。
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