G-度量空间的凸性与Mann迭代逼近不动点
Convexity in G-metric spaces and approximation of fixed points by Mann iterative proces
摘要：
本文首先在G-度量空间中定义了凸性的概念。然后在这个新定义的凸G-度量空间中利用Mann迭代过程证明了几类映射的收敛性结果。这样，我们就可以把几个存在性结果推广到那些逼近不动点的情形。我们的结果只是在环境中是新的。
英文摘要：
In this paper, we first define the concept of convexity in G-metric spaces. We then use Mann iterative process in this newly defined convex G-metric space to prove some convergence results for some classes of mappings. In this way, we can extend several existence results to those approximating fixed points. Our results are just new in the setting.
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。
