Volume 33, Issue 2
An Iterative Method for Split Variational Inclusion Problem and Fixed Point Problem for a Family of Generalized Asymptotically Nonexpansive Semigroup

Lijun Chen

Ann. Appl. Math., 33 (2017), pp. 139-154.

Published online: 2022-06

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  • 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.

  • AMS Subject Headings

47H10, 47H06, 47H17, 47J20

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COPYRIGHT: © Global Science Press

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@Article{AAM-33-139, author = {Chen , Lijun}, title = {An Iterative Method for Split Variational Inclusion Problem and Fixed Point Problem for a Family of Generalized Asymptotically Nonexpansive Semigroup}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {33}, number = {2}, pages = {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.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20601.html} }
TY - JOUR T1 - An Iterative Method for Split Variational Inclusion Problem and Fixed Point Problem for a Family of Generalized Asymptotically Nonexpansive Semigroup AU - Chen , Lijun JO - Annals of Applied Mathematics VL - 2 SP - 139 EP - 154 PY - 2022 DA - 2022/06 SN - 33 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20601.html KW - split variational inclusion problem, strong convergence theorem, fixed point problems, generalized asymptotically nonexpansive semigroup. AB -

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.

Lijun Chen. (2022). An Iterative Method for Split Variational Inclusion Problem and Fixed Point Problem for a Family of Generalized Asymptotically Nonexpansive Semigroup. Annals of Applied Mathematics. 33 (2). 139-154. doi:
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