In this paper, we consider more general forms of generalized vector quasi-equilibrium problems for multivalued maps which include many known vector quasi-equilibrium problems and generalized vector quasi-variational inequality problems as special cases. We establish some existence results for solutions of these problems under pseudomonotonicity and u-hemicontinuity/ -hemicontinuity assumptions.

In this paper, employing the Ky Fan section theorem,we give a class of Ky Fan inequality for set-valued maps,usually it takes Ky Fan inequality ,vector equilibrium problems as its special cases.

The main purpose of this paper consists of providing characterizations of the inclusion of the solution set of a given conic system posed in a real locally convex topological space into a variety of subsets of the same space de…ned by means of vector-valued functions. These Farkas-type results are used to derive characterizations of the weak solutions of vector optimization problems (including ...

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...

It has long been known that variational inequality problems can be reformulated as nonsmooth equations. Recently, locally high-order convergent Newton methods for nonsmooth equations have been well established via the concept of semismoothness. When the constraint set of the variational inequality problem is a rectangle, several locally convergent Newton methods for the reformulated nonsmooth e...

We present two proximal algorithms for solving the mixed equilibrium problems. Under some simpler framework, the strong and weak convergence of the sequences defined by two general algorithms is respectively obtained. In particular, we deal with several iterative schemes in a united way and apply our algorithms for solving the classical equilibrium problem, the minimization problem, the classic...

With the constant changes of the market demand trends and modern information technology which greatly influence supply chain operation and management, postponement has been developed to be an important strategy in some of the supply chain processes. This paper studies the multi-period and multi-commodity flow supply chain network equilibrium problem with postponement strategy under a type of su...