Symmetric vector quasi-equilibrium problems

On the symmetric vector quasi-equilibrium problems

“…Fu's method is based on the notion of weak minimal points and well-known Kakutani-Fan-Glicksberg Fixed point theorem in locally convex Hausdorff space. Also our method enables us extends some results in [6,9,10,13].…”

“…In 2003, Fu [6] introduced the symmetric vector quasi-equilibrium problem (for short, SVQEP) that consists in finding (x,ȳ) ∈ C × D such thatx ∈ S(x,ȳ),ȳ ∈ T (x,ȳ) and…”

“…The aim of this paper, among other things, is, using a particular technique, to generalize the results of [6], from real locally convex spaces to real t.v.s. In order to reach our aim, we establish a lemma that enables us to reduce a SVQEP to a SQEP, and then by using existence theorems for solving SQEP, we obtain a solution for SVQEP.…”

“…In order to reach our aim, we establish a lemma that enables us to reduce a SVQEP to a SQEP, and then by using existence theorems for solving SQEP, we obtain a solution for SVQEP. This method for obtaining a solution of SVQEP is different from that which is used by Fu in [6]. Fu's method is based on the notion of weak minimal points and well-known Kakutani-Fan-Glicksberg Fixed point theorem in locally convex Hausdorff space.…”

Symmetric strong vector quasiequilibrium problems in Hausdorff locally convex spaces

“…A lot of results for existence of solutions for vector equilibrium problems and vector variational inequalities have been established by many authors in different ways. For details, we refer the reader to various studies (see, e.g., [3][4][5][6][7][8][9][10][11][12][13][14][15] and the references therein).…”