Mixed variational formulation of unilateral problems
Mixed variational inequalities and economic equilibrium problems.
Mixed variational inequalities and exact penalty functions
Mixed variational-like inequality for fuzzy mappings in reflexive Banach spaces.
Modelling and control in pseudoplate problem with discontinuous thickness
This paper concerns an obstacle control problem for an elastic (homogeneous) and isotropic) pseudoplate. The state problem is modelled by a coercive variational inequality, where control variable enters the coefficients of the linear operator. Here, the role of control variable is played by the thickness of the pseudoplate which need not belong to the set of continuous functions. Since in general problems of control in coefficients have no optimal solution, a class of the extended optimal control...
Modified golden ratio algorithms for pseudomonotone equilibrium problems and variational inequalities
We propose a modification of the golden ratio algorithm for solving pseudomonotone equilibrium problems with a Lipschitz-type condition in Hilbert spaces. A new non-monotone stepsize rule is used in the method. Without such an additional condition, the theorem of weak convergence is proved. Furthermore, with strongly pseudomonotone condition, the $R$-linear convergence rate of the method is established. The results obtained are applied to a variational inequality problem, and the convergence rate...
Monotone trajectories of dynamical systems and Clarke's generalized Jacobian.
Multiperiod supply chain network equilibrium model with electronic commerce and multicriteria decision-making
In this paper, we develop a supply chain network equilibrium model in which electronic commerce in the presence of both B2B (business-to-business) and B2C (business-to-consumer) transactions, multiperiod decision-making and multicriteria decision-making are integrated. The model consists of three tiers of decision-makers (manufacturers, retailers and consumers at demand markets) who compete within a tier but may cooperate between tiers. Both manufacturers and retailers are concerned with maximization...
Multiperiod supply chain network equilibrium model with electronic commerce and multicriteria decision-making∗∗∗
In this paper, we develop a supply chain network equilibrium model in which electronic commerce in the presence of both B2B (business-to-business) and B2C (business-to-consumer) transactions, multiperiod decision-making and multicriteria decision-making are integrated. The model consists of three tiers of decision-makers (manufacturers, retailers and consumers at demand markets) who compete within a tier but may cooperate between tiers. Both manufacturers and retailers are concerned with maximization...
Multivalued backward stochastic differential equations with time delayed generators
Our aim is to study the following new type of multivalued backward stochastic differential equation: where ∂φ is the subdifferential of a convex function and (Y t, Z t):= (Y(t + θ), Z(t + θ))θ∈[−T,0] represent the past values of the solution over the interval [0, t]. Our results are based on the existence theorem from Delong Imkeller, Ann. Appl. Probab., 2010, concerning backward stochastic differential equations with time delayed generators.
Multivalued quasi variational inequalities in Banach spaces.
Necessary Conditions for Multiple Integral Problem in the Calculus of Variations.
New concepts of well-posedness for optimization problems with variational inequality constraints.
New iterative scheme for finite families of equilibrium, variational inequality, and fixed point problems in Banach spaces.
New system of general nonconvex variational inequalities.
Noncoercive hemivariational inequality and its applications in nonconvex unilateral mechanics
This paper is devoted to the study of a class of hemivariational inequalities which was introduced by P. D. Panagiotopoulos [31] and later by Z. Naniewicz [22]. These variational formulations are natural nonconvex generalizations [15–17], [22–33] of the well-known variational inequalities. Several existence results are proved in [15]. In this paper, we are concerned with some related results and several applications.
Non-compact random generalized games and random quasi-variational inequalities.
Nonlinear Commutators and Jacobians.
Nonlinear parabolic variational inequalities
Nonlinear retarded integral inequalities with two variables and applications.