论文标题
关于通过隐式关系和最佳接近点的近端收缩
On proximal contractions via implicit relations and best proximity points
论文作者
论文摘要
在本文中，我们采用两种类型的隐性关系来定义一些新的近端收缩，并研究其最佳近端点。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，第二类且强大的近代$ \ Mathcal $ \ Mathcal contromention我们研究了最佳接近点结果的存在。值得一提的是，萨迪克·巴沙（J.大约理论，$ 2011 $]在近端收缩上是我们获得的结果的特殊情况。我们通过合适的例子来验证结果。
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.
