title: Strong convergence of an extragradient-type algorithm for the multiple-sets split equality problem.
abstract: This paper introduces a new extragradient-type method to solve the multiple-sets split equality problem (MSSEP). Under some suitable conditions, the strong convergence of an algorithm can be verified in the infinite-dimensional Hilbert spaces. Moreover, several numerical results are given to show the effectiveness of our algorithm.
authors.affiliation: Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300387 P.R. China.
authors.forename: Ying
authors.initials: Y
authors.lastname: Zhao
authors.affiliation: Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300387 P.R. China.
authors.forename: Luoyi
authors.initials: L
authors.lastname: Shi
keywords: extragradient-type; multiple-sets split equality problem; strong convergence