Mann-type hybrid steepest-descent method for three nonlinear problems
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- 作者：Abdul Latif ; Abdulaziz SM Alofi…
- 关键词：Mann ; type hybrid steepest ; descent method ; general mixed equilibrium ; general system of variational inequalities ; nonexpansive mapping ; strict pseudocontraction ; inverse ; strongly monotone mapping
- 刊名：Journal of Inequalities and Applications
- 出版年：2015
- 出版时间：December 2015
- 年：2015
- 卷：2015
- 期：1
- 全文大小：1,651 KB
- 刊物主题：Analysis; Applications of Mathematics; Mathematics, general;
- 出版者：Springer International Publishing
- ISSN：1029-242X
文摘
We introduce a Mann-type hybrid steepest-descent iterative algorithm for finding a common element of the set of solutions of a general mixed equilibrium problem, the set of solutions of general system of variational inequalities, the set of solutions of finitely many variational inequalities, and the set of common fixed points of finitely many nonexpansive mappings and a strict pseudocontraction in a real Hilbert space. We derive the strong convergence of the iterative algorithm to a common element of these sets, which also solves some hierarchical variational inequality.