Hierarchical fixed points of strictly pseudo contractive mappings for variational inequality problems

In this paper, we introduce a new iterative scheme that converges strongly to a common fixed point of a countable family of strictly pseudo-contractive mappings in a real Hilbert space which is also a solution of variational inequality problem related to quadratic minimization problems. Our results...

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Detalles Bibliográficos
Autores principales: Chamnarnpan, Tanom, Wairojjana, Nopparat, Kumam, Poom
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2013
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3824709/
https://www.ncbi.nlm.nih.gov/pubmed/24255840
http://dx.doi.org/10.1186/2193-1801-2-540
Descripción
Sumario:In this paper, we introduce a new iterative scheme that converges strongly to a common fixed point of a countable family of strictly pseudo-contractive mappings in a real Hilbert space which is also a solution of variational inequality problem related to quadratic minimization problems. Our results extend ones of Yao et al. [Math. and Comput. Modell. 52(9-10):1697–1705, 2010], Gu et al. [J. Appl. Math. 2011:17 p., 2011] and some authors.

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