A family of fourth order iterative methods for solving nonlinear operator equations

Acta Mathematica Hungarica ◽

10.1007/bf01950278 ◽

1984 ◽

Vol 44 (3-4) ◽

pp. 249-253

Author(s):

Duong Thuy Vy

Keyword(s):

Iterative Methods ◽

Fourth Order ◽

Nonlinear Operator ◽

Operator Equations ◽

Nonlinear Operator Equations

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On the approximate solution of nonlinear operator equations by iterative methods

Thirty-Five Scientific Communications from the All-Union Conference on Functional Analysis and its Applications. Jan. 17–24, 1956. Five Papers on Analysis - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/016/22 ◽

1960 ◽

pp. 410-413

Author(s):

Yu. Ya. Kaazik

Keyword(s):

Approximate Solution ◽

Iterative Methods ◽

Nonlinear Operator ◽

Operator Equations ◽

Nonlinear Operator Equations

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Iterative methods of stochastic approximation for solving non-regular nonlinear operator equations

Computational Mathematics and Mathematical Physics ◽

10.1134/s096554251510005x ◽

2015 ◽

Vol 55 (10) ◽

pp. 1597-1605

Author(s):

A. B. Bakushinskii ◽

M. Yu. Kokurin

Keyword(s):

Iterative Methods ◽

Stochastic Approximation ◽

Nonlinear Operator ◽

Operator Equations ◽

Nonlinear Operator Equations

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Monotone iterative methods for nonlinear operator equations∗)

Numerical Functional Analysis and Optimization ◽

10.1080/01630568708816262 ◽

1987 ◽

Vol 9 (7-8) ◽

pp. 809-843 ◽

Cited By ~ 5

Author(s):

Florian A. Potra

Keyword(s):

Iterative Methods ◽

Nonlinear Operator ◽

Operator Equations ◽

Nonlinear Operator Equations ◽

Monotone Iterative

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On general iterative methods for the solutions of a class of nonlinear operator equations

Mathematics of Computation ◽

10.1090/s0025-5718-1965-0179906-4 ◽

1965 ◽

Vol 19 (89) ◽

pp. 14-14 ◽

Cited By ~ 8

Author(s):

M. Z. Nashed

Keyword(s):

Iterative Methods ◽

Nonlinear Operator ◽

Operator Equations ◽

Nonlinear Operator Equations

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An approach to accelerate iterative methods for solving nonlinear operator equations

10.1063/1.3664358 ◽

2011 ◽

Author(s):

Gyurhan H. Nedzhibov ◽

George Venkov ◽

Ralitza Kovacheva ◽

Vesela Pasheva

Keyword(s):

Iterative Methods ◽

Nonlinear Operator ◽

Operator Equations ◽

Nonlinear Operator Equations

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Iterative methods for nonlinear operator equations

Applied Mathematics and Computation ◽

10.1016/0096-3003(92)90072-9 ◽

1992 ◽

Vol 51 (2-3) ◽

pp. 167-180 ◽

Cited By ~ 2

Author(s):

A.T. Chronopoulos ◽

Z. Zlatev

Keyword(s):

Iterative Methods ◽

Nonlinear Operator ◽

Operator Equations ◽

Nonlinear Operator Equations

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Graph-convergent analysis of over-relaxed ( A , η , m ) -proximal point iterative methods with errors for general nonlinear operator equations

Fixed Point Theory and Applications ◽

10.1186/1687-1812-2014-161 ◽

2014 ◽

Vol 2014 (1) ◽

Cited By ~ 1

Author(s):

Heng-you Lan

Keyword(s):

Iterative Methods ◽

Nonlinear Operator ◽

Proximal Point ◽

Operator Equations ◽

Nonlinear Operator Equations

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A class of iterative methods for solving nonlinear operator equations

Scientific Publications of the State University of Novi Pazar Series A Applied Mathematics Informatics and mechanics ◽

10.5937/spsunp1502063e ◽

2015 ◽

Vol 7 (2) ◽

pp. 63-79

Author(s):

N. Evkhuta ◽

P.P. Zabreǐko

Keyword(s):

Iterative Methods ◽

Nonlinear Operator ◽

Operator Equations ◽

Nonlinear Operator Equations

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The midpoint method for solving nonlinear operator equations in Banach space

Applied Mathematics Letters ◽

10.1016/0893-9659(92)90076-l ◽

1992 ◽

Vol 5 (4) ◽

pp. 7-9 ◽

Cited By ~ 10

Author(s):

Dong Chen ◽

Ioannis K. Argyros

Keyword(s):

Banach Space ◽

Nonlinear Operator ◽

Operator Equations ◽

Nonlinear Operator Equations ◽

Midpoint Method

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Iterations converging to distinct solutions of some nonlinear operator equations in Banach space

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/s016117128600073x ◽

1986 ◽

Vol 9 (3) ◽

pp. 583-587

Author(s):

Ioannis K. Argyros

Keyword(s):

Banach Space ◽

Linear Operator ◽

Nonlinear Operator ◽

Operator Equations ◽

Nonlinear Operator Equations

We examine the solvability of multilinear equations of the formMk(x,x,…,x)−k times−=y, k=2,3,…whereMkis ak-linear operator on a Banach spaceXandy∈Xis fixed.

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