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Convergence theorems for split equality generalized mixed equilibrium problems for demi-contractive mappings
Ist Teil von
Journal of inequalities and applications, 2015-12, Vol.2015 (1), p.1-25, Article 418
Ort / Verlag
Cham: Springer International Publishing
Erscheinungsjahr
2015
Link zum Volltext
Quelle
Free E-Journal (出版社公開部分のみ)
Beschreibungen/Notizen
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.