V. M. Sehgal, "A fixed point theorem for contraction mappings", International Journal of Mathematics and Mathematical Sciences, vol. 5, Article ID 632643, 4 pages, 1982. https://doi.org/10.1155/S0161171282000271
A fixed point theorem for contraction mappings
Let be a closed subset of a Banach space and be a strict contraction mapping. Suppose there exists a mapping such that for each . Then for any , the sequence in defined by , , converges to a . Further, if , then .
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