@article {10.3844/jmssp.2007.112.115, article_type = {journal}, title = {Generalization of Banach Contraction Principle in Two Directions}, author = {El-Shobaky, E. and Ali, Sahar Mohamed and Ali, Montaser Saudi}, volume = {3}, year = {2007}, month = {Sep}, pages = {112-115}, doi = {10.3844/jmssp.2007.112.115}, url = {https://thescipub.com/abstract/jmssp.2007.112.115}, abstract = {We showed that the generalized contraction mapping defined on a closed convex subset of a weakly Cauchy normed space has a unique fixed point. Moreover, the sequence of iterates of any element in the domain of the given mapping is converging strongly to the fixed point of such a mapping.}, journal = {Journal of Mathematics and Statistics}, publisher = {Science Publications} }