A Shrinking Projection Method for a Type of Generalized Equilibrium Problems in Banach Spaces
Yuqin Chen · Journal of Putian University · 2013
In this paper, a shrinking projection method were proposed for finding a common element of the set EP of the solutions of a generalized equilibrium problem, the set F(S) of fixed points of a quasi- φ- asymptotically nonexpansive mapping and the set T-10 of zeros of a maximal monotone operator T in uniformly smooth and uniformly convex Banach spaces. It was proven that under appropriate conditions, the iterative sequence generated by the method converges strongly to some point in EP∩T-10∩F(S).