Convergence theorems for split equality generalized mixed equilibrium problems for demi-contractive mappings

被引：0
作者：
Mijanur Rahaman
Yeong-Cheng Liou
Rais Ahmad
Iqbal Ahmad
机构：
[1] Aligarh Muslim University,Department of Mathematics
[2] Cheng Shiu University,Department of Information Management
[3] Kaohsiung Medical University,Research Center of Nonlinear Analysis and Optimization and Center for Fundamental Science
来源：
Journal of Inequalities and Applications | / 2015卷
关键词：
split equality generalized mixed equilibrium problem; demi-contractive mappings; fixed point; iterative scheme; 47H09; 47J25; 49M37; 90C25;
D O I：
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学科分类号：
摘要：
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.
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