An iterative algorithm for a system of generalized implicit variational inclusions

In this paper, we introduce a system of generalized implicit variational inclusions which consists of three variational inclusions. We design an iterative algorithm with error terms based on relaxed resolvent operator due to Ahmad et al. (Stat Optim Inf Comput 4:183–193, 2016) for approximating the...

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Detalles Bibliográficos
Autores principales: Ahmad, Iqbal, Mishra, Vishnu Narayan, Ahmad, Rais, Rahaman, Mijanur
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4977269/
https://www.ncbi.nlm.nih.gov/pubmed/27547658
http://dx.doi.org/10.1186/s40064-016-2916-8
Descripción
Sumario:In this paper, we introduce a system of generalized implicit variational inclusions which consists of three variational inclusions. We design an iterative algorithm with error terms based on relaxed resolvent operator due to Ahmad et al. (Stat Optim Inf Comput 4:183–193, 2016) for approximating the solution of our system. The convergence of the iterative sequences generated by the iterative algorithm is also discussed. An example is given which satisfy all the conditions of our main result.

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