基于隐关系和最佳邻近点的邻近压缩
On proximal contractions via implicit relations and best proximity points
摘要：
本文利用两类隐式关系定义了一类新的邻近压缩，并研究了它们的最佳邻近点。更准确地说，我们使用两类函数$\mathcal{A}$和$\mathcal{A}'$来探索近端$\mathcal{A}$，$\mathcal{A}'$ -第一和第二类型的收缩以及强近端$\mathcal{A}$，$\mathcal{A}'$ -收缩。我们调查的最佳邻近点的存在性相同的结果。值得一提的是，Sadiq Basha [J. Approx.理论，$2011$ ]的近端收缩是我们所得到的结果的特殊情况。我们验证我们的结果通过合适的例子。
英文摘要：
In this paper, we employ two types of implicit relations to define some new kind of proximal contractions and study about their best proximity points. More precisely, we use two class of functions $\mathcal{A}$ and $\mathcal{A}'$ to explore proximal $\mathcal{A}$, $\mathcal{A}'$-contractions of first and second type and strong proximal $\mathcal{A}$, $\mathcal{A}'$-contractions. We investigate the existence of best proximity point results of the same. It is worth mentioning that the well-known results of Sadiq Basha [J. Approx. Theory, $2011$] on proximal contractions are the special cases of our obtained results. We authenticate our results by suitable examples.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
