Keywords: 47H99; 65H10; 65J15; Newton's method; Restricted domain; Majorizing sequence; Semilocal convergence; Error estimates; Integral equation;
مقالات ISI (ترجمه نشده)
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Keywords: 47H99; 65H10; 65J15; Newton's method; Semilocal convergence; Majorizing sequence; Error estimates; Region of accessibility; Integral equation;
Keywords: 47H99; 65H10; Iterative method; Local convergence; Non-differentiable operator; Dynamics; Steffensen's method;
Keywords: 42B25; 46E35; 47H99; Maximal operator; Continuity; Sobolev spaces;
Keywords: Non-differentiable operator; The Kurchatov method; Local convergence; 47H99; 65H10; 65J15;
On the local convergence study for an efficient k-step iterative method
Keywords: 47H99; 65H10; Nonlinear equations; Iterative methods; Local convergence; Order of convergence; Efficiency;
Semilocal and local convergence of a fifth order iteration with Fréchet derivative satisfying Hölder condition
Keywords: Nonlinear equations; Local convergence; Semilocal convergence; Banach space; Hammerstein integral equation; Hölder condition; 65H10; 47H99;
Enlarging the convergence domain in local convergence studies for iterative methods in Banach spaces
Keywords: Nonlinear equations; Local convergence; Banach space; Hammerstein integral equation; Lipschitz condition; Complex dynamics65H10; 47H99
On an efficient kk-step iterative method for nonlinear equations
Keywords: 47H99; 65H10Nonlinear equations; Iterative methods; Efficiency; Order of convergence; Dynamics; Semilocal convergence
A Steffensen type method of two steps in Banach spaces with applications
Keywords: 47H99; 65J15Nonlinear equations in Banach spaces; Steffensen’s method; Semilocal convergence; Recurrence relations; Region of accessibility; Domain of parameters
On the local convergence of fast two-step Newton-like methods for solving nonlinear equations
Keywords: 65J15; 65G99; 47H99; 49M15Banach space; Semilocal convergence; Newton-like method; Chebyshev’s method; Secant method; Newton’s method
On Steffensen’s method on Banach spaces
Keywords: 47H99; 65J15Nonlinear equations in Banach spaces; Steffensen’s method; Modified Newton’s method; Semilocal convergence; Majorant principle; Region of accessibility
Majorizing sequences for Newton’s method from initial value problems
Keywords: 45G10; 47H99; 65J15Newton’s method; Semilocal convergence; Majorizing sequence; Order of convergence; Kantorovich’s technique; Bratu’s equation
On the semilocal convergence of efficient Chebyshev–Secant-type methods
Keywords: 65J15; 65G99; 47H99; 49M15Banach space; Chebyshev’s method; The secant method; Newton’s method; Divided difference; Recurrence relations
Solving nonlinear integral equations of Fredholm type with high order iterative methods
Keywords: 45G10; 47H99; 65J15; Iterative methods; Hybrid methods; Order of convergence; Efficiency; Semilocal convergence; Fredholm integral equation;
On preimages of a class of generalized monotone operators
Keywords: 47H99; 55M25; 55M20Closed connected hypersurface; Degree of differentiable map; Injectivity; hh-monotone operator; Minty–Browder monotone operator; Preimage
On some one-point hybrid iterative methods
Keywords: 47H99; 65J15; 34B15Nonlinear equations in Banach spaces; The Newton method; Iterative processes of third order; Semilocal convergence; RR-order of convergence; Region of accessibility; Boundary-value problems
Bifurcation points and asymptotic bifurcation points of nonlinear operators in M-PN spaces
Keywords: 60A99; 47H99; 34K18M-PN space; Bifurcation point; Asymptotic bifurcation point; Intrinsic value; Topological degree
The generalized ff-projection operator and set-valued variational inequalities in Banach spaces
Keywords: 47H99; 47H04; 47J20; 49J40Generalized ff-projection operator; Variational inequality; Set-valued mapping; KKM theorem; Kakutani–Fan–Glicksberg fixed point theorem
Improving the efficiency index of one-point iterative processes
Keywords: 34B15; 47H99; 65J15Nonlinear equations in Banach spaces; Semilocal convergence; Recurrence relations; A priori error estimates; RR-order of convergence; Multipoint iterations; Boundary value problem
On eigen-structure of a nonlinear map in Rn
Keywords: 47J10; 47H99; 37G99; Nonlinear eigenvalue problem; Bifurcation;