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…
Fixed point theory
Common fixed points for Presic operators via simulation functions
AbstractIn this paper, using the concept of simulation function we present existence and uniqueness results for coincidence and common fixed…
Some fixed point results regarding convex contractions of Presić type
AbstractIn the present paper, we introduce new types of Presić operators. These operators generalize the well-known Istrăţescu mappings, known as…
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…
Fixed point theorems for generalized contraction mappings on b-rectangular metric spaces
AbstractIn the present article, we study some fixed point theorems for a hybrid class of generalized contractive operators in the…
On new faster fixed point iterative schemes for contraction operators and comparison of their rate of convergence in convex metric spaces
AbstractIn this paper we present new iterative algorithms in convex metric spaces. We show that these iterative schemes are convergent…
Some fixed point results linked to α –β rational contractions and modified multivalued Hardy-Rogers operators
AbstractIn this paper two new fixed point results are studied. The first result is a theorem that involves (α −β)…
Approximating fixed points for nonlinear generalized mappings using Ishikawa iteration
AbstractWe obtain a contractive condition for the existence and uniqueness of fixed points for a generalized contraction-type mapping. The present…
Sequences of contractions on cone metric spaces over Banach algebras and applications to nonlinear systems of equations and systems of differential equations
AbstractIt is well known that fixed point problems of contractive-type mappings defined on cone metric spaces over Banach algebras are…
On the bifurcation of the null solutions of some mildly nonlinear elliptic boundary value problems
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,\ \…