关于循环映射的伪压缩
On pseudocontractions in cyclic maps
摘要：
本文讨论了度量空间的有限个子集的并上的一类扩张循环自映射的一个更一般的压缩条件，这些子集在定义域的相同子集中允许有有限个连续象.如果空间是一致凸的，且子集是非空的、闭的和凸的，那么所有的迭代收敛到一个唯一的闭极限有限序列，该序列包含相邻子集的最佳邻近点，并且当所有子集相交时，该序列约化为唯一的不动点.
英文摘要：
This paper discusses a more general contractive condition for a class of extended cyclic self-mappings on the union of a finite number of subsets of a metric space which are allowed to have a finite number of successive images in the same subsets of its domain. If the space is uniformly convex and the subsets are non-empty, closed and convex then all the iterates converge to a unique closed limiting finite sequence which contains the best proximity points of adjacent subsets and reduces to a unique fixed point if all such subsets intersect.
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。
