## 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…

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,\ \…

AbstractFor a homogeneous Dirichlet problem attached to a semilinear elliptic equation we study the existence and uniqueness of non-negative solutions.…

Abstract Given a nonlinear mapping \(G:D\subseteq \mathbb{R}^n\rightarrow \mathbb{R}^n\) differentiable at a fixed point \(x^\ast\), the Ostrowski theorem offers the sharp…

Abstract In 1986, I. Păvăloiu [6] has considered a Banach space and the fixed point problem \[x=\lambda D\left( x\right) +y,…

Abstract We have recently characterized the q-quadratic convergence of the perturbed successive approximations. For a particular choice of the parameters, these…