Convergence theorems for split equality generalized mixed equilibrium problems for demi-contractive mappings
Mijanur Rahaman, Yeong‐Cheng Liou, Rais Ahmad, Iqbal Ahmad · Journal of Inequalities and Applications · 2015
In this paper, we introduce a new iterative algorithm for solving the split equality generalized mixed equilibrium problems. The weak and strong convergence theorems are proved for demi-contractive mappings in real Hilbert spaces. Several special cases are also discussed. As applications, we employ our results to get the convergence results for the split equality convex differentiable optimization problem, the split equality convex minimization problem, and the split equality mixed equilibrium problem. The results in this paper generalize, extend, and unify some recent results in the literature.