Content deleted Content added
links |
hypotheses are necessary |
||
Line 8:
d(x*, x<sub>n</sub>) ≤ ----- d(x<sub>1</sub>,x<sub>0</sub>)
1-q
Note that all hypotheses of the theorem are necessary: if the space ''X'' is not complete, no fixed point need exist. Also, the requirement d(''Tx'', ''Ty'') < d(''x'', ''y'') for all ''x'' and ''y'' is not enough to ensure the existence of a fixed point.
----
| |||