Maximal elements of $mathscr{F}_{C,theta}$-majorized mappings and applications to‎ ‎generalized games

Abstract

In the paper‎, <br />‎some new existence theorems of maximal elements for‎ <br />‎$mathscr{F}_{C,theta}$-mappings and $mathscr{F}_{C,theta}$-majorized mappings are established‎. <br />‎As applications, ‎some new existence theorems of equilibrium points for‎ <br />‎one-person games‎, ‎qualitative games and generalized games are obtained‎. <br />‎Our results unify and generalize most known results‎ <br />‎in recent literature‎.