Existence of Solutions for a New Class of Generalized Quasi-Equilibrium Problems in Hilbert Space
Gao Wen-jua · Journal of Neijiang Normal University · 2014
A new class of generalized equilibrium-like problems is studied in Hilbert space.By applying the FAN-KKM theorem,the existence and uniqueness of solutions of the auxiliary problem is found out,and some properties of the solution are obtained.Under suitable conditions,the solution and a common point for a non-expansive mapping of a mixed iterative sequence strongly convergent to generalized quasi-equilibrium problems are proven.