Hybrid Algorithms for Solving Variational Inequalities, Variational Inclusions, Mixed Equilibria, and Fixed Point Problems
Joint Authors
Wong, Mu-Ming
Yao, Jen-Chih
Petrusel, Adrian
Ceng, Lu-Chuan
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-27
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
We present a hybrid iterative algorithm for finding a common element of the set of solutions of a finite family of generalized mixed equilibrium problems, the set of solutions of a finite family of variational inequalities for inverse strong monotone mappings, the set of fixed points of an infinite family of nonexpansive mappings, and the set of solutions of a variational inclusion in a real Hilbert space.
Furthermore, we prove that the proposed hybrid iterative algorithm has strong convergence under some mild conditions imposed on algorithm parameters.
Here, our hybrid algorithm is based on Korpelevič’s extragradient method, hybrid steepest-descent method, and viscosity approximation method.
American Psychological Association (APA)
Ceng, Lu-Chuan& Petrusel, Adrian& Wong, Mu-Ming& Yao, Jen-Chih. 2014. Hybrid Algorithms for Solving Variational Inequalities, Variational Inclusions, Mixed Equilibria, and Fixed Point Problems. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-22.
https://search.emarefa.net/detail/BIM-1013478
Modern Language Association (MLA)
Ceng, Lu-Chuan…[et al.]. Hybrid Algorithms for Solving Variational Inequalities, Variational Inclusions, Mixed Equilibria, and Fixed Point Problems. Abstract and Applied Analysis No. 2014 (2014), pp.1-22.
https://search.emarefa.net/detail/BIM-1013478
American Medical Association (AMA)
Ceng, Lu-Chuan& Petrusel, Adrian& Wong, Mu-Ming& Yao, Jen-Chih. Hybrid Algorithms for Solving Variational Inequalities, Variational Inclusions, Mixed Equilibria, and Fixed Point Problems. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-22.
https://search.emarefa.net/detail/BIM-1013478
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013478