Convergence analysis of an iterative algorithm for the extended regularized nonconvex variational inequalities

In this paper, we suggest and analyze a new system of extended regularized nonconvex variational inequalities and prove the equivalence between the aforesaid system and a fixed point problem. We introduce a new perturbed projection iterative algorithm with mixed errors to find the solution of the sy...

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Detalles Bibliográficos
Autores principales: Zhao, Ying, Shi, Luoyi, Chen, Rudong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5403888/
https://www.ncbi.nlm.nih.gov/pubmed/28496295
http://dx.doi.org/10.1186/s13660-017-1347-6
Descripción
Sumario:In this paper, we suggest and analyze a new system of extended regularized nonconvex variational inequalities and prove the equivalence between the aforesaid system and a fixed point problem. We introduce a new perturbed projection iterative algorithm with mixed errors to find the solution of the system of extended regularized nonconvex variational inequalities. Furthermore, under moderate assumptions, we research the convergence analysis of the suggested iterative algorithm.

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