Two new self-adaptive algorithms for solving split common fixed point problems with multiple output sets

In this paper, we study split common fixed point problems with multiple output sets in Hilbert spaces. For solving this problem, we improve Reich and Tuyen's algorithms [10] and propose two new self-adaptive algorithms which do not need any priori information on the norms of the transfer operat...

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Bibliographic Details
Published in:Optimization Vol. 73; no. 7; pp. 2123 - 2137
Main Authors: Sun, Wenlong, Jin, Yuanfeng, Peng, Zufeng, Liu, Qi
Format: Journal Article
Language:English
Published: Philadelphia Taylor & Francis 02.07.2024
Taylor & Francis LLC
Subjects:
Adaptive algorithms
Fixed points (mathematics)
Hilbert space
multiple output sets
Primary 47H09
quasinonexpansive mapping
self-adaptive algorithm
Split common fixed point
ISSN:0233-1934, 1029-4945
Online Access:Get full text
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Summary:In this paper, we study split common fixed point problems with multiple output sets in Hilbert spaces. For solving this problem, we improve Reich and Tuyen's algorithms [10] and propose two new self-adaptive algorithms which do not need any priori information on the norms of the transfer operators. Then, we establish weak convergence theorems for them. It can be seen from our numerical experiments that the proposed methods depict a very significant improvement in terms of the number of iterations and execution time.
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ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2023.2187665