Remarks on Fixed Points, Maximal Elements, and Equilibria of Generalized Games

Fixed Points, Maximal Elements and Equilibria of Generalized Games in Abstract Convex Spaces

and Applied Analysis 3 Definition 2.2 see 22 . Let E,D;Γ be an abstract convex space. If a mapping G : D → 2 satisfies

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

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

Approximating fixed points of generalized nonexpansive mappings

Coupled fixed points of generalized Kanann contraction and its applications

The purpose of this paper is to find of the theoretical results of fixed point theorems for a mixed monotone mapping in a metric space endowed with partially order by using the generalized Kanann type contractivity of assumption. Also, as an application, we prove the existence and uniqueness of solution for a first-order ordinary differential equation with periodic bou...

maximal elements of $mathscr{f}_{c,theta}$-majorized mappings and applications to‎ ‎generalized games

in the paper‎, ‎some new existence theorems of maximal elements for‎ ‎$mathscr{f}_{c,theta}$-mappings and $mathscr{f}_{c,theta}$-majorized mappings are established‎. ‎as applications, ‎some new existence theorems of equilibrium points for‎ ‎one-person games‎, ‎qualitative games and generalized games are obtained‎. ‎our results unify and generalize most known results‎ ‎in recent literature‎.