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On Variational Inclusion and Common Fixed Point Problems in q-Uniformly Smooth Banach Spaces
Joint Authors
Song, Yanlai
Hu, Huiying
Ceng, Lu-Chuan
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-17
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
We introduce a general iterative algorithm for finding a common element of the common fixed-point set of an infinite family of λi-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 to a great extent.
American Psychological Association (APA)
Song, Yanlai& Hu, Huiying& Ceng, Lu-Chuan. 2012. On Variational Inclusion and Common Fixed Point Problems in q-Uniformly Smooth Banach Spaces. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-1029031
Modern Language Association (MLA)
Song, Yanlai…[et al.]. On Variational Inclusion and Common Fixed Point Problems in q-Uniformly Smooth Banach Spaces. Journal of Applied Mathematics No. 2012 (2012), pp.1-20.
https://search.emarefa.net/detail/BIM-1029031
American Medical Association (AMA)
Song, Yanlai& Hu, Huiying& Ceng, Lu-Chuan. On Variational Inclusion and Common Fixed Point Problems in q-Uniformly Smooth Banach Spaces. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-1029031
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029031