An iterative method for generalized equilibrium problems, fixed point problems and variational inequality problems.
An iterative method for nonconvex equilibrium problems.
An iterative method for variational inequality problems and fixed point problems in Hilbert spaces
An Iterative Procedure for Solving Nonsmooth Generalized Equation
2000 Mathematics Subject Classification: 47H04, 65K10.In this article, we study a general iterative procedure of the following form 0 ∈ f(xk)+F(xk+1), where f is a function and F is a set valued map acting from a Banach space X to a linear normed space Y, for solving generalized equations in the nonsmooth framework. We prove that this method is locally Q-linearly convergent to x* a solution of the generalized equation 0 ∈ f(x)+F(x) if the set-valued map [f(x*)+g(·)−g(x*)+F(·)]−1 is Aubin continuous...
An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise
An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations.
An Orlicz-Sobolev space setting for quasilinear elliptic problems.
An oscillation theorem for a second order nonlinear differential equations with variable potential.
Analysis and Numerical Approximation of an Electro-elastic Frictional Contact Problem
We consider the problem of frictional contact between an piezoelectric body and a conductive foundation. The electro-elastic constitutive law is assumed to be nonlinear and the contact is modelled with the Signorini condition, nonlocal Coulomb friction law and a regularized electrical conductivity condition. The existence of a unique weak solution of the model is established. The finite elements approximation for the problem is presented, and error...
Analysis of a Damped Nonlinear Multilevel Method.
Anti-periodic solutions for second order differential inclusions.
Anti-periodic solutions to a parabolic hemivariational inequality
In this paper we deal with the anti-periodic boundary value problems with nonlinearity of the form , where Extending to be multivalued we obtain the existence of solutions to hemivariational inequality and variational-hemivariational inequality.
Antisymmetric operator algebras, I
Application of Rothe's method to abstract parabolic equations
Application of Rothe's method to nonlinear evolution equations
Applications of the spectral radius to some integral equations
In the paper [13] we proved a fixed point theorem for an operator , which satisfies a generalized Lipschitz condition with respect to a linear bounded operator , that is: The purpose of this paper is to show that the results obtained in [13], [14] can be extended to a nonlinear operator .
Approximate fixed points for nonexpansive and quasi-nonexpansive mappings in hyperspaces.
Approximate homomorphisms.
Approximate proximal point algorithms for finding zeroes of maximal monotone operators in Hilbert spaces.
Approximating common fixed points of asymptotically nonexpansive mappings by composite algorithm in Banach spaces
Let E be a uniformly convex Banach space and K a nonempty convex closed subset which is also a nonexpansive retract of E. Let T 1, T 2 and T 3: K → E be asymptotically nonexpansive mappings with k n, l n and j n. [1, ∞) such that Σn=1∞(k n − 1) < ∞, Σn=1∞(l n − 1) < ∞ and Σn=1∞(j n − 1) < ∞, respectively and F nonempty, where F = x ∈ K: T 1x = T 2x = T 3 x = xdenotes the common fixed points set of T 1, T 2 and T 3. Let α n, α′ n and α″ n be real sequences in (0, 1) and ∈ ≤ α n, α′ n, α″...