Geodesic
On Convergence of Iterations for Fixed Points of Repulsive Type
Canadian mathematical bulletin, Tome 14 (1971) no. 3, pp. 353-357

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This paper deals with the convergence of iterations of the equation 1.1 with u 0 ∊ Rn , both as a root and a point of repulsion. Here u and φ are real n-vectors and φ is continuously differentiate with respect to u. By taking u 0 as an initial approximation to u 0 in a neighbourhood of u 0 we define the sequence of iterates {uk+1 } by 1.1 For the sake of convenience we shall, sometimes, call the equation (1.1) an iteration. 
Koneru, Rao S.; Lalli, B. S. On Convergence of Iterations for Fixed Points of Repulsive Type. Canadian mathematical bulletin, Tome 14 (1971) no. 3, pp. 353-357. doi: 10.4153/CMB-1971-064-4
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     author = {Koneru, Rao S. and Lalli, B. S.},
     title = {On {Convergence} of {Iterations} for {Fixed} {Points} of {Repulsive} {Type}},
     journal = {Canadian mathematical bulletin},
     pages = {353--357},
     year = {1971},
     volume = {14},
     number = {3},
     doi = {10.4153/CMB-1971-064-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-064-4/}
}
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