A minimax principle for eigenvalues in spectral gaps: Dirac operators with Coulomb potentials.
A modified Fletcher-Reeves conjugate gradient method for unconstrained optimization with applications in image restoration
The Fletcher-Reeves (FR) method is widely recognized for its drawbacks, such as generating unfavorable directions and taking small steps, which can lead to subsequent poor directions and steps. To address this issue, we propose a modification to the FR method, and then we develop it into the three-term conjugate gradient method in this paper. The suggested methods, named ``HZF'' and ``THZF'', preserve the descent property of the FR method while mitigating the drawbacks. The algorithms incorporate...
A new hybrid iterative algorithm for fixed-point problems, variational inequality problems, and mixed equilibrium problems.
A new iterative method for solving equilibrium problems and fixed point problems for infinite family of nonexpansive mappings.
A new phase space localization technique with application to the sum of negative eigenvalues of Schrödinger operators
A new system of nonlinear fuzzy variational inclusions involving -accretive mappings in uniformly smooth Banach spaces.
A nonlinear neutral periodic differential equation.
A note on a beam equation with nonlinear boundary conditions.
A note on a nonlinear functional differential system with feedback control.
A note on Banach spaces and sub differentials of convex functions
A note on periodic solutions of second order nonautonomous singular coupled systems.
A note on the existence of solutions to some nonlinear functional integral equations.
A note on the parabolic differential and difference equations.
A note on the second order boundary value problem on a half-line.
A periodic boundary value problem in Hilbert space
In the paper some existence results for periodic boundary value problems for the ordinary differential equation of the second order in a Hilbert space are given. Under some auxiliary assumptions the set of solutions is compact and connected or it is convex.
A priori estimates and solvability of a non-resonant generalized multi-point boundary value problem of mixed Dirichlet-Neumann-Dirichlet type involving a -Laplacian type operator
This paper is devoted to the problem of existence of a solution for a non-resonant, non-linear generalized multi-point boundary value problem on the interval . The existence of a solution is obtained using topological degree and some a priori estimates for functions satisfying the boundary conditions specified in the problem.
A Recession Notion for a Class of Monotone Bivariate Functions
Using monotone bifunctions, we introduce a recession concept for general equilibrium problems relying on a variational convergence notion. The interesting purpose is to extend some results of P. L. Lions on variational problems. In the process we generalize some results by H. Brezis and H. Attouch relative to the convergence of the resolvents associated with maximal monotone operators.
A result on the well posedness of the Cauchy problem for a class of hyperbolic operators with double characteristics
A second-order boundary value problem with nonlinear and mixed boundary conditions: existence, uniqueness, and approximation.
A semigroup approach to the system with primary and secondary failures.