On variational inclusion and common fixed point problems in \(q\)-uniformly smooth Banach spaces
type: Item
instance of: scholarly article
title: On variational inclusion and common fixed point problems in \(q\)-uniformly smooth Banach spaces
zbMATH Open document ID: 1263.47082
DOI: 10.1155/2012/865810
published in: Journal of Applied Mathematics
publication date: 2013-06-03T00:00:00Z
review text: Summary: We introduce a general iterative algorithm for finding a common element of the common fixed point set of an infinite family of \(\lambda_i\)-strict pseudocontractions and the solution set of a general system of variational inclusions for two inverse strongly accretive operators in a \(q\)-uniformly smooth Banach space. Then, we prove a strong convergence theorem for the iterative sequence generated by the proposed iterative algorithm under very mild conditions. The methods in the paper are novel and different from those in the early and recent literature. Our results can be viewed as the improvement, supplementation, development, and extension of the corresponding results in some references.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47J22
Mathematics Subject Classification ID: 47H06
zbMATH DE Number: 6169998
zbMATH Keywords: general iterative algorithm
zbMATH Keywords: common fixed point set
zbMATH Keywords: infinite family of \(\lambda_i\)-strict pseudocontractions
zbMATH Keywords: general system of variational inclusions
zbMATH Keywords: inverse strongly accretive operators
zbMATH Keywords: \(q\)-uniformly smooth Banach space
zbMATH Keywords: strong convergence
author: Yan-Lai Song
author: Hui-Ying Hu
author: L. C. Ceng
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/865810
OpenAlex ID: W2021180728
Wikidata QID: Q58907509
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description: scientific article; zbMATH DE number 6169998