科研之友
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摘要
Let C be a closed convex subset of a Banach space X and T: C 〞 C a mapping that satisfies ||Tx - Ty|| = 0, c =%26gt; 0 and a + b + c = 1. Then T has a unique fixed point. The above theorem, proved by Gregus, is hereby generalized to when X is a metrisable topological vector space. In addition, we are able to use the Mann iteration scheme to approximate the unique fixed point.
- 出版日期2006
