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Novel iterative method for the approximation of fixed point of a class of generalized ([Formula: see text])-nonexpansive mapping with applications to seir epidemic model. [PDF]

Sci Rep
Alharthi NH, Okeke GA, Udo AV, Alqahtani RT, Yusuf A.   +4 more
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Solutions of Nonlinear Operator Equations

SIAM Journal on Mathematical Analysis, 1977
Some theorems concerning existence and uniqueness of zeros of operator polynomials are given. Under certain hypotheses we show the existence of complete pairs of zeros. A numerical example is given applying the theorems.
Lancaster, Peter, Rokne, Jon G.
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A Perturbation Analysis for Nonlinear Selfadjoint Operator Equations

SIAM Journal on Matrix Analysis and Applications, 2006
Perturbation analysis, including perturbation bounds, is developed for nonlinear operator equations of the form X = Q ± A*F(X)A, under perturbations of the given operators Q (which is assumed to be positive definite) and A and of the given operator function F(X) which takes self-adjoint operator values.
Ran, A.C.M., Reurings, M.C.B., Rodman, L.   +2 more
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Corrected Operator Splitting for Nonlinear Parabolic Equations

SIAM Journal on Numerical Analysis, 2000
The paper concerns a corrected operator splitting method for solving nonlinear parabolic equations of convection-diffusion type. It is shown that the method generates a compact sequence of approximate solutions which converges to the solution of the problem.
Kenneth Hvistendahl Karlsen, Nils Henrik Risebro   +1 more
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Nonlinear Operator Equations And Applications To Modelling

1990 Eastern Multiconference. Record of Proceedings. The 23rd Annual Simulation Symposium, 1990
The main purpose of this paper is to treat the problem of numerical solutions of Lyapunov matrix equations and nonlinear matrix equations such as the Riccati type which occur in many areas of applications such as in control theory, robotics, mathematical modelling and computer simulation, etc.
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The Existence of Solutions for Nonlinear Operator Equations

gmj, 2008
Abstract We provide the existence results for a nonlinear operator equation Λ*Φ′ (Λ𝑥) = 𝐹′(𝑥), in case 𝐹 – Φ is not necessarily convex. We introduce the dual variational method which is based on finding global minima of primal and dual action functionals on certain nonlinear subsets of their domains and on ...
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Enclosing methods in perturbed nonlinear operator equations

Computing, 1984
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jochen W. Schmidt, Harald Schneider
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Nonlinear equations with differentiable operators

1994
Let \( \mathfrak{D} \) be a topological space. Assume that F is an operator defined from \( \mathfrak{D} \) into \( \mathfrak{D} \), i.e., $$ F\left( \mathfrak{D} \right) \subseteq \mathfrak{D} $$ (1)
Victor Khatskevich, David Shoiykhet
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The exact solutions of a kind of nonlinear operator equations

Applied Mathematics and Computation, 2005
The paper is concerned with the following nonlinear operator equation: \[ K_1[vBv]+K_2v=f,\;v, f\in W_2^1[a, b], \] where \(W_2^1[a, b]\) is a complete reproducing kernel space , and \(K_1, K_2, B\) are bounded linear operators from \(W_2^1[a, b]\) to \(W_2^1[a, b]\). Under some conditions, the exact solution's expression of the equation is given.
Ming Gen Cui, Li Hong Yang
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Nonlinear equations with holomorphic operators

1994
Throughout this chapter we will consider complex Banach spaces only. In this case, many local features related to the solvability of equations with operators that are differentiable in the complex sense, turn out to be global.
Victor Khatskevich, David Shoiykhet
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