利用不动点结果求非线性矩阵方程组的公共解
Common solution to a pair of non-linear matrix equations via fixed point results
摘要：
本文给出了一类非线性矩阵方程组存在唯一正定公共解的充分条件。为此，我们在巴拿赫空间中给出了一些有趣的公共不动点的结果，这些结果涉及一对改变距离的函数以及一些其他的控制函数。在此基础上，我们得到了这对非线性矩阵方程组存在唯一正定公共解的一些理想的充分条件。我们指出了我们的研究结果可能适用的领域。
英文摘要：
In this article, we propose an idea to develop some sufficient conditions for the existence and uniqueness of a positive definite common solution to a pair of non-linear matrix equations. To proceed this, we present some interesting common fixed point results involving couple of altering distance functions along with some other control functions in Banach spaces. Based on these results, we deduce some desired sufficient conditions for the existence and uniqueness of a positive definite common solution to the said pair of non-linear matrix equations. We point out a probable applicable area of our findings.
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。
