This paper is concerned with the class of two-person twoobjective decision problems characterized by quadratic cost functions and static information structures. The primitive random variables are assumed to have u priori known but arbitrary probability distributions with finite second-order moments. For this class of problems, sufficient conditions are derived for the existence of a unique pair...

In this paper, by using a new concept of strong convexity, we obtain sufficient conditions for Holder continuity of the solution mapping for a parametric weak vector equilibrium problem in the case where the solution mapping is a general set-valued one. Without strong monotonicity assumptions, the Holder continuity for solution maps to parametric weak vector optimization problems is discussed.

We suggest an explicit viscosity iterative algorithm for finding a common element in the set of solutions of the general equilibrium problem system (GEPS) and the set of all common fixed points of two noncommuting nonexpansive self mappings in the real Hilbert space.  

Recently Cherchye et al. (2011) reformulated the Walrasian equilibrium inequalities, introduced by Brown and Matzkin (1996), as an integer programming problem and proved that solving the Walrasian equilibrium inequalities is NPhard. Brown and Shannon (2002) derived an equivalent system of equilibrium inequalities ,i.e., the dual Walrasian equilibrium inequalities. That is, the Walrasian equilib...

We introduce a new iterative scheme for nding a common elementof the solutions set of a generalized mixed equilibrium problem and the xedpoints set of an innitely countable family of nonexpansive mappings in a Banachspace setting. Strong convergence theorems of the proposed iterative scheme arealso established by the generalized projection method. Our results generalize thecorresponding results...

The nonlinear complementarity problem has been used to study and formulate various equilibrium problems including the traffic equilibrium problem, the spatial equilibrium problem and the Nash equilibrium problem. To solve the nonlinear complementarity problem, various iterative methods such as projection methods, linearized methods and Newton method have been proposed and their convergence resu...

natural convection heat transfer from a vertical heated plate in a saturated porous medium is analyzed under thermal non-equilibrium assumptions. the plate is maintained at a non uniform temperature and the fluid is considered to be with internal heat generation. the coupled momentum and energy equations for fluid and solid phases are transformed to a similarity format, and solved numerically. ...

This paper presents a Nash equilibrium model where the underlying objective functions involve uncertainty and nonsmoothness. The well-known sample average approximation method is applied to solve the problem and the first order equilibrium conditions are characterized in terms of Clarke generalized gradients. Under some moderate conditions, it is shown that with probability one, a statistical e...

In this paper, we consider the equilibrium problem for a pseudo-monotone function. For solving this problem, a hybrid ergodic-splitting method is proposed. We decompose the equilibrium function into two functions and then solve auxiliary problems for each decomposition function separately. Under pseudo-monotonicity of the equilibrium function and some additional assumptions, we prove that the s...