局部凸空间中最佳逼近研究纵览(英文)

A Survey on the Best Approximation in Locally Convex Spaces

通过对大量文献研究,回顾了最佳逼近论的研究进展.重点讨论了最有意义的可分离局部凸空间最佳逼近问题、以及最佳逼近问题与向量优化、Pareto有效性、多值函数等之间的直接联系.

As a part of the approximation theory and its applications in vector spaces, in this research paper the best approximation is reviewed. Special attention is given to the most significant best approximation problems in separated locally convex spaces and to their directly connections with the vector optimization very well represented in this way of study by the Pareto type efficiency and some important links to the multifunctions, starting from an original point of view concerning this matter in topological spaces and being based on adequate references.