Erratum to “Iterative methods for variational inequalities over the intersection of the fixed points set of a nonexpansive semigroup in Banach spaces”.
Error bounds for general mixed quasivariational inequalities.
Essential -type maps and Birkhoff–Kellogg theorems.
Existence and data dependence for multivalued weakly Ćirić-contractive operators.
Existence and data dependence of fixed points and strict fixed points for contractive-type multivalued operators.
Existence and regularity of the solution of a time dependent Hartree-Fock equation coupled with a classical nuclear dynamics.
We study an Helium atom (composed of one nucleus and two electrons) submitted to a general time dependent electric field, modeled by the Hartree-Fock equation, whose solution is the wave function of the electrons, coupled with the classical Newtonian dynamics, for the position of the nucleus. We prove a result of existence and regularity for the Cauchy problem, where the main ingredients are a preliminary study of the regularity in a nonlinear Schrödinger equation with semi-group techniques and...
Existence and Stability of Periodic Solutions for Nonlinear Neutral Differential Equations with Variable Delay Using Fixed Point Technique
Our paper deals with the following nonlinear neutral differential equation with variable delay By using Krasnoselskii’s fixed point theorem we obtain the existence of periodic solution and by contraction mapping principle we obtain the uniqueness. A sufficient condition is established for the positivity of the above equation. Stability results of this equation are analyzed. Our results extend and complement some results obtained in the work [Yuan, Y., Guo, Z.: On the existence and stability of...
Existence and stability of solutions for implicit multivalued vector equilibrium problems.
Existence and uniqueness of a classical solution to a functional-differential abstract nonlocal Cauchy problem.
Existence and uniqueness of periodic solutions of mixed monotone functional differential equations.
Existence and uniqueness of solutions Cauchy problem for nonlinear infinite systems of parabolic differential-functional equations.
Existence and uniqueness of solutions for fourth-order boundary-value problems in Banach spaces.
Existence and uniqueness of solutions to a semilinear functional-differential evolution nonlocal Cauchy problem.
Existence of a common solution for a system of nonlinear integral equations via fixed point methods inb-metric spaces
In this paper we introduce a property and use this property to prove some common fixed point theorems in b-metric space. We also give some fixed point results on b-metric spaces endowed with an arbitrary binary relation which can be regarded as consequences of our main results. As applications, we applying our result to prove the existence of a common solution for the following system of integral equations: x (t) = ∫ a b K 1 (t,r,x(r)) dr, x (t) = ∫ a b K 2 (t,r,x(r)) dr, where a, b...
Existence of a solution of a Fourier nonlocal quasilinear parabolic problem.
Existence of fixed points of firmly nonexpansive-like mappings in Banach spaces.
Existence of mild solutions for quasilinear integrodifferential equations with impulsive conditions.
Existence of mild solutions of a semilinear evolution differential inclusions with nonlocal conditions.
Existence of positive solutions for a class of arbitrary order boundary value problems involving nonlinear functionals
We give conditions which guarantee the existence of positive solutions for a variety of arbitrary order boundary value problems for which all boundary conditions involve functionals, using the well-known Krasnosel'skiĭ fixed point theorem. The conditions presented here deal with a variety of problems, which correspond to various functionals, in a uniform way. The applicability of the results obtained is demonstrated by a numerical application.
Existence of positive solutions for a fractional boundary value problem with lower-order fractional derivative dependence on the half-line
The aim of this paper is to study the existence of solutions to a boundary value problem associated to a nonlinear fractional differential equation where the nonlinear term depends on a fractional derivative of lower order posed on the half-line. An appropriate compactness criterion and suitable Banach spaces are used and so a fixed point theorem is applied to obtain fixed points which are solutions of our problem.