节点文献
局部δ-Boyd,Wong映象的不动点定理
On the fixed point theorem of the local δ-Boyd and Wong's mapping
【摘要】 提出了一类局部δ-Boyd,Wong压缩映象,并证明了其存在唯一的不动点,且若空间是局部紧的或函数是单调不减的,则该不动点定理与Banach压缩映象原理是等价的.
【Abstract】 It is proved that there is a unique fixed point for every local δ-Boyd and Wong's mapping in the complete δ chained metric space.If the space is local compact one or φ is nondecreasing,this fixed point theorem is equivalent to Banach’s contraction mapping principle.
【关键词】 δ-可链的度量空间;
局部δ-Boyd,Wong映象;
局部紧的度量空间不动点;
【Key words】 δ-chained metric space; local δ-Boyd and Wong’s mapping; fixed point;
【Key words】 δ-chained metric space; local δ-Boyd and Wong’s mapping; fixed point;
- 【文献出处】 烟台师范学院学报(自然科学版) ,Yantai Teachers College Journal(Natural Science) , 编辑部邮箱 ,2002年01期
- 【分类号】O177.91
- 【下载频次】9