TY  - JOUR
AU  - Ali, Sahar M. 
PY  - 2006
TI  - Reduced Assumption in the Banach Contraction Principle
JF  - Journal of Mathematics and Statistics
VL  - 2
IS  - 1
DO  - 10.3844/jmssp.2006.343.345
UR  - https://thescipub.com/abstract/jmssp.2006.343.345
AB  - In this study we introduce a novel class of normed spaces called weakly Cauchy normed spaces not necessarily complete in general and proved the existence of a fixed point of contraction mappings in these spaces, this is weaker assumption than the completeness assumption imposed on the given normed space on the other side the contraction condition valid only on a closed convex subset of the given space.