An inertial parallel algorithm for a finite family of G-nonexpansive mappings with application to the diffusion problem
Keyword(s):
AbstractFor finding a common fixed point of a finite family of G-nonexpansive mappings, we implement a new parallel algorithm based on the Ishikawa iteration process with the inertial technique. We obtain the weak convergence theorem of this algorithm in Hilbert spaces endowed with a directed graph by assuming certain control conditions. Furthermore, numerical experiments on the diffusion problem demonstrate that the proposed approach outperforms well-known approaches.
Keyword(s):
2020 ◽
Vol 16
(01)
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pp. 89-103
Keyword(s):
1998 ◽
Vol 226
(1)
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pp. 245-250
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Keyword(s):
2011 ◽
Vol 2011
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pp. 1-10
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