An extension of Fan's fixed point theorem and equilibrium point of an abstract economy
An extension of the inverse function theorem.
An extragradient approximation method for equilibrium problems and fixed point problems of a countable family of nonexpansive mappings.
An extragradient iterative scheme by viscosity approximation methods for fixed point problems and variational inequality problems
In this paper, we introduce a new iterative process for finding the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality problem for an α-inverse-strongly-monotone, by combining an modified extragradient scheme with the viscosity approximation method. We prove a strong convergence theorem for the sequences generated by this new iterative process.
An extragradient method for mixed equilibrium problems and fixed point problems.
An Extremal Problem Involving Functions and Their Inverses.
An hp-Discontinuous Galerkin Method for the Optimal Control Problem of Laser Surface Hardening of Steel
In this paper, we discuss an hp-discontinuous Galerkin finite element method (hp-DGFEM) for the laser surface hardening of steel, which is a constrained optimal control problem governed by a system of differential equations, consisting of an ordinary differential equation for austenite formation and a semi-linear parabolic differential equation for temperature evolution. The space discretization of the state variable is done using an hp-DGFEM, time and control discretizations are based on a discontinuous Galerkin...
An hp-Discontinuous Galerkin Method for the Optimal Control Problem of Laser Surface Hardening of Steel
In this paper, we discuss an hp-discontinuous Galerkin finite element method (hp-DGFEM) for the laser surface hardening of steel, which is a constrained optimal control problem governed by a system of differential equations, consisting of an ordinary differential equation for austenite formation and a semi-linear parabolic differential equation for temperature evolution. The space discretization of the state variable is done using an hp-DGFEM, time and control discretizations are based on a discontinuous Galerkin...
An idempotent algorithm for a class of network-disruption games
A game is considered where the communication network of the first player is explicitly modelled. The second player may induce delays in this network, while the first player may counteract such actions. Costs are modelled through expectations over idempotent probability measures. The idempotent probabilities are conditioned by observational data, the arrival of which may have been delayed along the communication network. This induces a game where the state space consists of the network delays. Even...
An ill-posed nonlocal two-point problem for systems of partial differential equations.
An imbedding theorem in the calculus of variations for multiple integrals, addendum.
An implementation of recursive quadratic programming variable metric methods for linearly constrained nonlinear minimax approximation
An implicit extragradient method for hierarchical variational inequalities.
An implicit hierarchical fixed-point approach to general variational inequalities in Hilbert spaces.
An implicit iterative scheme for an infinite countable family of asymptotically nonexpansive mappings in Banach spaces.
An implicit-function theorem for a class of monotone generalized equations
An improved convergence analysis of a superquadratic method for solving generalized equations.
An impulsive control problem with state constraint
An index formula for the degree of (S)-mappings associated with one-dimensional -Laplacian.
An inexact proximal-type method for the generalized variational inequality in Banach spaces.