An Iterative Method for Split Variational Inclusion Problem and Fixed Point Problem for a Family of Generalized Asymptotically Nonexpansive Semigroup

An Iterative Method for Split Variational Inclusion Problem and Fixed Point Problem for a Family of Generalized Asymptotically Nonexpansive Semigroup

Year:    2017

Author:    Lijun Chen

Annals of Applied Mathematics, Vol. 33 (2017), Iss. 2 : pp. 139–154

Abstract

In this paper, strong convergence of an iterative sequence is proved, which computes an approximate solution of the set of solutions of split variational inclusion problem, the set of fixed points of a nonexpansive mapping and the set of common fixed points of a family of generalized asymptotically nonexpansive semigroup. Results obtained in this paper extend and unify the previously known results in the previous literatures.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2017-AAM-20601

Annals of Applied Mathematics, Vol. 33 (2017), Iss. 2 : pp. 139–154

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    split variational inclusion problem strong convergence theorem fixed point problems generalized asymptotically nonexpansive semigroup.

Author Details

Lijun Chen