Equilibrium Problem with Lower and Upper Bounds in FC-space
Lei Wang · Journal of Sichuan Normal University · 2013
Equilibrium problem with lower and upper bounds is a very interesting problem of equilibrium problem,which was introduced by G.Isac,V.M.Sechgal,S.P.Singh(Indian J Math,1999,41(1) : 25-31.) and then become a very important and valued tool in nonlinear analysis.Firstly,we obtain a new nonempty intersection theorem about FC-hull.By using this nonempty intersection theorem and fixed point theorem,some new theorems of equilibrium problems and quasi-equilibrium problems with lower and upper bounds are established in noncompact FC-spaces.The results presented in this paper answer the above open problem and generalize some known results in the literature.