Some extensions of Banach's contraction theorem

Philip R. Meyers
1965 Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics  
Th e class of self·mappings of a metrizable space which are contractions under at least one comple te metri c is s hown to includ e a s ub se t of th e local contractions. The required metric is constructed in a sequ e nce of s teps.
doi:10.6028/jres.069b.022 fatcat:athgsgrezffxnhyn4nsgffz3xm