Convergence analysis of the iterative methods for quasi-complementarity problems.
Convergence and stability of a three-step iterative algorithm for a general quasi-variational inequality problem.
Convergence and stability of the three-step iterative schemes for a class of general quasivariational-like inequalities.
Convergence estimates and approximation solvability of nonlinear implicit variational inequalities.
Convergence of a Penalty-Finite Element Approximation for an Obstacle Problem.
Convergence of approximate solutions of variational problems
Convergence of iterative sequences for generalized equilibrium problems involving inverse-strongly monotone mappings.
Convergence of the coincidence set in the homogenization of the obstacle problem
Convergence theorem based on a new hybrid projection method for finding a common solution of generalized equilibrium and variational inequality problems in Banach spaces.
Convergence theorems on generalized equilibrium problems and fixed point problems with applications.
Convex integration and the theory of elliptic equations
This paper deals with the theory of linear elliptic partial differential equations with bounded measurable coefficients. We construct in two dimensions examples of weak and so-called very weak solutions, with critical integrability properties, both to isotropic equations and to equations in non-divergence form. These examples show that the general theory, developed in [1, 24] and [2], cannot be extended under any restriction on the essential range of the coefficients. Our constructions are based...
Critical point theorems and Ekeland type variational principle with applications.
Critique of "Two-dimensional examples of rank-one convex functions that are not quasiconvex" by M. K. Benaouda and J. J. Telega
It is noted that the examples provided in the paper "Two-dimensional examples of rank-one convex functions that are not quasiconvex" by M. K. Benaouda and J. J. Telega, Ann. Polon. Math. 73 (2000), 291-295, contain unrecoverable errors.
Curves of maximal slope and parabolic variational inequalities on non-convex constraints
-gap functions and descent methods for a class of monotone equilibrium problems.
Degenerate variational inequalities with gradient constraints
Deterministic minimax impulse control in finite horizon: the viscosity solution approach
We study here the impulse control minimax problem. We allow the cost functionals and dynamics to be unbounded and hence the value functions can possibly be unbounded. We prove that the value function of the problem is continuous. Moreover, the value function is characterized as the unique viscosity solution of an Isaacs quasi-variational inequality. This problem is in relation with an application in mathematical finance.
Discontinuous solutions of deterministic optimal stopping time problems
Discretization of semicoercive variational inequalities.
Doubly reflected BSDEs with call protection and their approximation
We study the numerical approximation of doubly reflected backward stochastic differential equations with intermittent upper barrier (RIBSDEs). These denote reflected BSDEs in which the upper barrier is only active on certain random time intervals. From the point of view of financial interpretation, RIBSDEs arise as pricing equations of game options with constrained callability. In a Markovian set-up we prove a convergence rate for a time-discretization scheme by simulation to an RIBSDE. We also...