Internal Perturbation Projection Algorithm for the Extended Split Equality Problem and the Extended Split Equality Fixed Point Problem
Joint Authors
Li, Meixia
Zhou, Xueling
Wang, Wenchao
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-03
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
In this article, we study the extended split equality problem and extended split equality fixed point problem, which are extensions of the convex feasibility problem.
For solving the extended split equality problem, we present two self-adaptive stepsize algorithms with internal perturbation projection and obtain the weak and the strong convergence of the algorithms, respectively.
Furthermore, based on the operators being quasinonexpansive, we offer an iterative algorithm to solve the extended split equality fixed point problem.
We introduce a way of selecting the stepsize which does not need any prior information about operator norms in the three algorithms.
We apply our iterative algorithms to some convex and nonlinear problems.
Finally, several numerical results are shown to confirm the feasibility and efficiency of the proposed algorithms.
American Psychological Association (APA)
Li, Meixia& Zhou, Xueling& Wang, Wenchao. 2020. Internal Perturbation Projection Algorithm for the Extended Split Equality Problem and the Extended Split Equality Fixed Point Problem. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1185592
Modern Language Association (MLA)
Li, Meixia…[et al.]. Internal Perturbation Projection Algorithm for the Extended Split Equality Problem and the Extended Split Equality Fixed Point Problem. Journal of Function Spaces No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1185592
American Medical Association (AMA)
Li, Meixia& Zhou, Xueling& Wang, Wenchao. Internal Perturbation Projection Algorithm for the Extended Split Equality Problem and the Extended Split Equality Fixed Point Problem. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1185592
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185592