Multi-step hybrid steepest-descent methods for split feasibility problems with hierarchical variational inequality problem constraints

作者：Ceng, L. C.; Liou, Y. C.^*; Sahu, D. R.

来源：Journal of Nonlinear Sciences and Applications, 2016, 9(6): 4148-4166.

DOI：10.22436/jnsa.009.06.58

• Hybrid steepest-descent method
• split feasibility problem
• generalized mixed equilibrium problem
• variational inclusion
• maximal monotone mapping
• nonexpansive mapping

In this paper, we introduce and analyze a multi-step hybrid steepest-descent algorithm by combining Korpelevich's extragradient method, viscosity approximation method, hybrid steepest-descent method, Mann's iteration method and gradient-projection method (GPM) with regularization in the setting of infinite dimensional Hilbert spaces. Strong convergence was established.

• 出版日期2016
• 单位上海师范大学