## Methods of Newton and Newton-Krylov type

Book summaryLocal convergence results on Newton-type methods for nonlinear systems of equations are studied. Solving of large linear systems by…

Book summaryLocal convergence results on Newton-type methods for nonlinear systems of equations are studied. Solving of large linear systems by…

AbstractIn this paper, using the concept of simulation function we present existence and uniqueness results for coincidence and common fixed…

AbstractIn the present paper, we introduce new types of Presić operators. These operators generalize the well-known Istrăţescu mappings, known as…

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…

AbstractIn this paper two new fixed point results are studied. The first result is a theorem that involves (α −β)…

AbstractWe obtain a contractive condition for the existence and uniqueness of fixed points for a generalized contraction-type mapping. The present…

AbstractIt is well known that fixed point problems of contractive-type mappings defined on cone metric spaces over Banach algebras are…

Abstract Existence and aymptotic expansion of some bifurcated solution for the following boundary value problem: \begin{align*} -\Delta u+cu^{2}-B^{2}u & =0,\ \…