TY - JOUR AU - El-Shobaky, E. AU - Ali, Sahar Mohamed AU - Ali, Montaser Saudi PY - 2007 TI - Generalization of Banach Contraction Principle in Two Directions JF - Journal of Mathematics and Statistics VL - 3 IS - 3 DO - 10.3844/jmssp.2007.112.115 UR - https://thescipub.com/abstract/jmssp.2007.112.115 AB - 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.