文章基本信息

标题：Strong convergence of an inertial algorithm for maximal monotone inclusions with applications
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作者：C. E. Chidume ; A. Adamu ; M. O. Nnakwe 等
期刊名称：Fixed Point Theory and Applications
印刷版ISSN：1687-1820
电子版ISSN：1687-1812
出版年度：2020
卷号：2020
期号：1
页码：1
DOI：10.1186/s13663-020-00680-2
出版社：Hindawi Publishing Corporation
摘要：An inertial iterative algorithm is proposed for approximating a solution of a maximal monotone inclusion in a uniformly convex and uniformly smooth real Banach space. The sequence generated by the algorithm is proved to converge strongly to a solution of the inclusion. Moreover, the theorem proved is applied to approximate a solution of a convex optimization problem and a solution of a Hammerstein equation. Furthermore, numerical experiments are given to compare, in terms of CPU time and number of iterations, the performance of the sequence generated by our algorithm with the performance of the sequences generated by three recent inertial type algorithms for approximating zeros of maximal monotone operators. In addition, the performance of the sequence generated by our algorithm is compared with the performance of a sequence generated by another recent algorithm for approximating a solution of a Hammerstein equation. Finally, a numerical example is given to illustrate the implementability of our algorithm for approximating a solution of a convex optimization problem.
关键词：47H10 ; 47J25 ; 47J05