## On some fixed point theorems for multi-valued operators by altering distance techique

AbstractThe aim of this paper is to present some sufficient conditions for the existence and uniqueness of fixed points for…

AbstractThe aim of this paper is to present some sufficient conditions for the existence and uniqueness of fixed points for…

AbstractIn the present article, we study some fixed point theorems for a hybrid class of generalized contractive operators in the…

AbstractIn this paper we present new iterative algorithms in convex metric spaces. We show that these iterative schemes are convergent…

AbstractThe majority of Cellular Automata (CA) described in the literature are binary or three-state. While several abstractions are possible to…

AbstractWe present a new type of optimization algorithms, adapted for neural network training. These algorithms are based upon sequential operator…

AbstractWe are concerned with accurate Chebyshev collocation (ChC) solutions to fourth order eigenvalue problems. We consider the 1D case as…

AbstractWe are concerned with Hanusse-type chemical models with diffusions. We show that some bounded invariant sets ⊂R^{N} found for the…

Abstract In this paper we consider a functional integral equation of the form \[ x(t)=g(t,x(t),x(h(t)))+\int_{a}^{t} f(s,x(h(s)))ds+\int_{a}^{b} K(s,x(h(s)))ds, \ \ t…

AbstractWe consider a mathematical model which describes the frictional contact between a viscoelastic body and a foundation. The contact is…

Abstract The nonlinear two-point boundary value problem (TPBVP for short) \[u_{xx}+u^{3}=0,\quad u(0)=u(1)=0,\] offers several insights into spectral methods. First, it…

Book summaryA self-consistent theory of stochastic modeling of groundwater systems is presented. Mathematical theory is illustrated and complemented by numerical methods and simulation codes. doi: http://doi.org/10.1007/978-3-030-15081-5 book on publisher website…

Read More Books, Chebyshev method, Convergence orders, divided differences, eigenvalue/eigenvector problems, history, inexact/perturbed iterations, iterative methods, Krylov methods, linear systems in Rn, local convergence, Newton method, nonlinear systems in Rn, Numerical Analysis, secant/chord method, successive approximations

Book summaryLocal convergence results on Newton-type methods for nonlinear systems of equations are studied. Solving of large linear systems by Krylov methods (GMRES, GMBACK, MINPERT) are also dealt with, as…

Read More AbstractBased on fixed point index, the paper develops a theory of existence, localization and multiplicity of solutions to first-order differential systems subject to linear nonlocal conditions. The main features concern…

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