模糊度量空间:优化重合点和邻近点

K. S. Wong, Z. Salleh, H. Akhadkulov
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引用次数: 0

摘要

我们的手稿提出了两个新颖的模糊近似收缩条件。首先,我们提出了模糊 α-近似准 H-收缩的两种变体,并建立了这些收缩在模糊度量空间中的最优重合点结果。本手稿的第二部分提出了多值映射的模糊ψ收缩,并在强模糊度量空间中实现了最佳重合点结果。本研究的发现拓宽并推广了一些现有的研究成果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Fuzzy Metric Spaces: Optimizing Coincidence and Proximity Points
Our manuscript puts forward two novel fuzzy proximal contractive conditions. First, we present two variants of fuzzy α-proximal quasi-H-contractions and establish optimal coincidence point outcomes for these contractions in fuzzy metric space. This manuscript’s second part proposes the fuzzy ψ-contraction for a multivalued mapping equipped with fuzzy weak P-property and achieves the best proximity point outcome in strong fuzzy metric space. The findings of this study broaden and generalize some existing research results.
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