凸度量空间中的零点存在定理及应用(英文)

An Existence Theorem of Zero Points in Convex Metric Spaces with Applications

首先证明了凸度量空间中泛函的零点存在定理 ,作为应用 ,研究了凸度量空间中泛函的极值问题与映象的公共不动点和重合点的存在定理 ,推广和改进了文献 [1 ,2 ]中的某些结果。

In this paper, we first present an existence theorem of zero points for functionals in convex metric spaces, and then use this theorem to study the extreme value problem for functionals and the existence problems of common fixed points and coincidence points for mappings in convex metric spaces. The results obtained in this paper generalize and improve some results in .