Gradient projection-type algorithms for solving ϕ-strongly pseudomonotone equilibrium problems in Banach spaces.

In this paper, we introduce the concept of ϕ-strongly pseudomonotone bifunctions in Banach spaces and present two simple subgradient-type methods for solving ϕ-strongly pseudomonotone equilibrium problem. Under mild and standard assumptions, strong convergence theorems of the proposed algorithms are established. To illustrate the usability of our results, a numerical example is given in a non-Hilbertian space. [ABSTRACT FROM AUTHOR]