Generalization of Banach Contraction Principle in Two Directions
E. El-Shobaky, Sahar Mohamed Ali & Montaser Saudi Ali
Journal of Mathematics and Statistics, Volume 3, Issue 3, pp. 112–115 · doi.org/10.3844/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.
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El-Shobaky, E., Ali, S. M. & Ali, M. S. (2007). Generalization of Banach Contraction Principle in Two Directions. Journal of Mathematics and Statistics, 3(3), 112–115. https://doi.org/10.3844/jmssp.2007.112.115
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