A SEPARATION APPROACH TO VECTOR QUASI-EQUILIBRIUM PROBLEMS: SADDLE POINT AND GAP FUNCTION

Some existence results for generalized vector quasi-equilibrium problems

‎In this paper‎, ‎we introduce and study a class of generalized vector quasi-equilibrium problem‎, ‎which includes many vector equilibrium problems‎, ‎equilibrium problems‎, ‎vector variational inequalities and variational inequalities as special cases‎. ‎Using one person game theorems‎, ‎the concept of escaping sequences and without convexity assumptions‎, ‎we prove some existence results for ...

A decomposition approach to vector equilibrium problems

A vector equilibrium problem is generally defined by a bifunction which takes values in a partially ordered vector space. In particular, when this space is endowed with a componentwise ordering, the vector equilibrium problem can be decomposed into a family of equilibrium subproblems, each of them being governed by a bifunction obtained from the initial one by selecting some of its scalar compo...

Existence Theorems of Simultaneous Equilibrium Problems and Generalized Vector Quasi-Saddle Points

In this paper, we establish the existence theorems of simultaneous equilibriums. As consequence of our results, we establish the existence theorem of simultaneous mathematical program and equilibrium problem and existence theorems of generalized vector quasi-saddle point problems .

Gap Functions and Existence of Solutions to Generalized Vector Quasi-Equilibrium Problems

In this paper, we introduce three new classes of generalized vector quasi-equilibrium problems. Then by a fixed point theorem we give the existence of solutions to these three ones.

Parametric Set-Valued Vector Quasi-Equilibrium Problems