论文标题
固定点定理在受控矩形度量空间中
Fixed point theorems in controlled rectangular metric spaces
论文作者
论文摘要
在本文中，我们通过更改矩形不等式的矩形公制空间的扩展名，称为受控矩形度量空间，如下所示：\ begin {equination*} d(x, y)\leqα(x, u)d(x, u)+α(u, v)d(u, v)+α(v, y)d(v, y), \end{equation*} for all distinct $x, y, u, v\in X$ with the function $α: X\times X\rightarrow[1,\infty[$.我们还为在此类空间上定义的自我映射建立了一些固定点定理。我们的主要结果扩展并改善了文献中存在的许多结果。此外，提出了一个说明性示例，以支持获得的结果。
In this paper, we introduce an extension of rectangular metric spaces called controlled rectangular metric spaces, by changing the rectangular inequality as follows: \begin{equation*} d(x, y)\leqα(x, u)d(x, u)+α(u, v)d(u, v)+α(v, y)d(v, y), \end{equation*} for all distinct $x, y, u, v\in X$ with the function $α: X\times X\rightarrow[1,\infty[$. We also establish some fixed point theorems for self-mappings defined on such spaces. Our main results extends and improves many results existing in the literature. Moreover, an illustrative example is presented to support the obtained results.
