Geodesic
On Newton-Like Method for Solving Generalized Nonlinear Operator Equations in Banach Spaces
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 3
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The purpose of this paper is to prove existence and uniqueness theorem for solving an operator equation of the form $F(x)+G(x)=0$, where $F$ is a G\^{a}teaux differentiable operator and $G$ is a Lipschitzian operator defined on an open convex subset of a Banach space. Our result extends and improves the previously known results in recent literature.
Classification : 49M15, 65K10 
@article{BMMS_2013_36_3_a15,
     author = {D. R. Sahu and Krishna Kumar Singh},
     title = {On {Newton-Like} {Method} for {Solving} {Generalized}  {Nonlinear} {Operator} {Equations} in {Banach} {Spaces}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2013},
     volume = {36},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_3_a15/}
}
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%A Krishna Kumar Singh
%T On Newton-Like Method for Solving Generalized  Nonlinear Operator Equations in Banach Spaces
%J Bulletin of the Malaysian Mathematical Society
%D 2013
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%F BMMS_2013_36_3_a15
D. R. Sahu; Krishna Kumar Singh. On Newton-Like Method for Solving Generalized  Nonlinear Operator Equations in Banach Spaces. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2013_36_3_a15/