Geodesic
On the local convergence of modified Homeier-like method in Banach spaces
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 21 (2018) no. 4, pp. 419-433

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The aim of this article is to investigate the local convergence analysis of the multi-step Homeier-like approach in order to approximate the solution of nonlinear equations in Banach spaces, which fulfilled the Lipschitz as well as Hölder continuity condition. The Hölder condition is more relaxer than Lipschitz condition. Also, the existence and uniqueness theorem has been derived and found their error bounds. Numerical examples are available to appear the importance of theoretical discussions. 
@article{SJVM_2018_21_4_a5,
     author = {B. Panday and J. P. Jaiswal},
     title = {On the local convergence of modified {Homeier-like} method in {Banach} spaces},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {419--433},
     publisher = {mathdoc},
     volume = {21},
     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2018_21_4_a5/}
}
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B. Panday; J. P. Jaiswal. On the local convergence of modified Homeier-like method in Banach spaces. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 21 (2018) no. 4, pp. 419-433. http://geodesic.mathdoc.fr/item/SJVM_2018_21_4_a5/