Strong Convergence to Solutions of Generalized Mixed Equilibrium Problems with Applications

Journal of Applied Mathematics (Impact Factor: 0.72). 01/2012; 2012(2). DOI: 10.1155/2012/308791
Source: DBLP


We introduce a Halpern-type iteration for a generalized mixed equilibrium problem
in uniformly smooth and uniformly convex Banach spaces. Strong convergence
theorems are also established in this paper. As applications, we apply our main
result to mixed equilibrium, generalized equilibrium, and mixed variational
inequality problems in Banach spaces. Finally, examples and numerical results
are also given.

1 Read