Results 41 to 50 of about 1,893 (124)

A modified Newton-secant method for solving nonsmooth generalized equations

Mathematical Modelling and Analysis
In this paper, we study the solvability of nonsmooth generalized equations in Banach spaces using a modified Newton-secant method, by assuming a Hölder condition.
Vitaliano de Sousa Amaral, Paulo Sérgio Marques dos Santos, Gilson N. Silva, Sissy Souza   +3 more
doaj   +1 more source

On the Kantorovich–Rubinstein theorem

, 2011
The Kantorovich–Rubinstein theorem provides a formula for the Wasserstein metric W1 on the space of regular probability Borel measures on a compact metric space.
D.A. Edwards, Edwards, D.A.
core   +1 more source

GPU-based parallel solver via the Kantorovich theorem for the nonlinear Bernstein polynomial systems

, 2011
This paper proposes a parallel solver for the nonlinear systems in Bernstein form based on subdivision and the Newton–Raphson method, where the Kantorovich theorem is employed to identify the existence of a unique root and guarantee the convergence of ...
Feifei Wei, Jieqing Feng, Feng, Jieqing, Wei, Feifei, Lin, Hongwei, Hongwei Lin   +5 more
core   +1 more source

Weighted ergodic theorem for contractions of Orlicz-Kantorovich lattice L_M(N,m) [PDF]

, 2015
In the present paper we prove a Besicovich weighted ergodic theorem for positive contractions acting on Orlich-Kantorovich space.
Mukhamedov, Farrukh, Ganiev, Inomjon
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The Fréchet–Newton Scheme for SV-HJB: Stability Analysis via Fixed-Point Theory

Axioms
This paper investigates the optimal portfolio control problem under a stochastic volatility model, whose dynamics are governed by a highly nonlinear Hamilton–Jacobi–Bellman equation.
Mehran Paziresh, Karim Ivaz, Mariyan Milev   +2 more
doaj   +1 more source

A generalization of the Newton—Kantorovich theorem in a Banach space

, 2018
Побудовано модифікацію класичного методу Ньютона—Канторовича в банаховому просторі. Для знаходження розв’язку нелінійного операторного рівняння отримано ітераційну схему із квадратичною збіжністю.
Чуйко, С.М.
core   +1 more source

Iterative Methods for Nonlinear Equations or Systems and Their Applications 2014

, 2014
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014.
Juan R. Torregrosa, Ioannis K. Argyros, Changbum Chun, Alicia Cordero, Fazlollah Soleymani   +4 more
wiley   +1 more source

On approximating the solutions of equations by the chord method and a method of Aitken-Steffensen type

Journal of Numerical Analysis and Approximation Theory, 2013
In [13] we have studied the existence and the convergence of iterative methods that use generalized abstract divided differences (this notion being defined there). We have indicated a construction model for these differences as well.
Adrian Diaconu
doaj   +2 more sources

On the solution of generalized equations and variational inequalities

Cubo, 2011
Uko and Argyros provided in [18] a Kantorovich-type theorem on the existence and uniqueness of the solution of a generalized equation of the form 𝓕 (𝓤)+ 𝓖(𝓤) ∋ 0, where f is a Fréchet-differentiable function, and g ...
Ioannis K Argyros, Saïd Hilout
doaj  

New Inequalities of the Kantorovich Type for Bounded Linear Operators in Hilbert Spaces

, 2006
Some new inequalities of the Kantorovich type are established. They hold for larger classes of operators and subsets of complex numbers than considered before in the literature and provide refinements of the classical results in the case when the ...
Dragomir, Sever S
core