Generalized frameworks for first-order evolution inclusions based on Yosida approximations.
Generalized strongly set-valued nonlinear complementarity problems.
Generalized vector equilibrium-like problems without pseudomonotonicity in Banach spaces.
Generic well-posedness for a class of equilibrium problems.
Hybrid iterative methods for convex feasibility problems and fixed point problems of relatively nonexpansive mappings in Banach spaces.
Hybrid steepest-descent methods for solving variational inequalities governed by boundedly Lipschitzian and strongly monotone operators.
Iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings.
Iterative algorithm for approximating solutions of maximal monotone operators in Hilbert spaces.
Iterative approximation to convex feasibility problems in Banach space.
Maximal elements and equilibria of generalized games for -majorized and condensing correspondences.
Minimization of constrained quadratic forms in Hilbert spaces.
Mixed variational inequalities and economic equilibrium problems.
New existence of equilibria via connectedness.
Non-compact random generalized games and random quasi-variational inequalities.
Nonlinear Rescaling Method and Self-concordant Functions
Nonlinear rescaling is a tool for solving large-scale nonlinear programming problems. The primal-dual nonlinear rescaling method was used to solve two quadratic programming problems with quadratic constraints. Based on the performance of primal-dual nonlinear rescaling method on testing problems, the conclusions about setting up the parameters are made. Next, the connection between nonlinear rescaling methods and self-concordant functions is discussed and modified logarithmic barrier function is...
On equilibrium problems.
On exact null controllability of Black-Scholes equation
In this paper we discuss the exact null controllability of linear as well as nonlinear Black–Scholes equation when both the stock volatility and risk-free interest rate influence the stock price but they are not known with certainty while the control is distributed over a subdomain. The proof of the linear problem relies on a Carleman estimate and observability inequality for its own dual problem and that of the nonlinear one relies on the infinite dimensional Kakutani fixed point theorem with ...
On existence of equilibria of set-valued maps
The present paper is devoted to sufficient conditions for existence of equilibria of Lipschitz multivalued maps in prescribed subsets of finite-dimensional spaces. The main improvement of the present study lies in the fact that we do not suppose any regular assumptions on the boundary of the subset. Our approach is based on behaviour of trajectories to the corresponding differential inclusion.
On existence of equilibrium pair for constrained generalized games.
On solvability of a generalized nonlinear variational-like inequality.