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- W2037029072 abstract "Abstract In this paper we study the problem of global convergence of the successive approximation method for the pair ( [ 0 , 1 ] 2 , F ) under the hypothesis that F ( x , y ) = ( f ( x , y ) , x ) , where f is a continuous function increasing with respect to the second variable. We demonstrate that, if Fix F is totally disconnected, then for the pair ( [ 0 , 1 ] 2 , F ) the successive approximation method converges globally if and only if F has no periodic point of prime period two." @default.
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- W2037029072 date "2008-11-01" @default.
- W2037029072 modified "2023-09-30" @default.
- W2037029072 title "An extension of Chu–Moyer’s theorem to two variable functions" @default.
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- W2037029072 doi "https://doi.org/10.1016/j.na.2007.09.039" @default.
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