Convex Minimization with Constraints of Systems of Variational Inequalities, Mixed Equilibrium, Variational Inequality, and Fixed Point Problems
Joint Authors
Pang, Chin-Tzong
Ceng, Lu-Chuan
Wen, Ching-Feng
Liao, Cheng-Wen
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-28, 28 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-08
Country of Publication
Egypt
No. of Pages
28
Main Subjects
Abstract EN
We introduce and analyze one iterative algorithm by hybrid shrinking projection method for finding a solution of the minimization problem for a convex and continuously Fréchet differentiable functional, with constraints of several problems: finitely many generalized mixed equilibrium problems, finitely many variational inequalities, the general system of variational inequalities and the fixed point problem of an asymptotically strict pseudocontractive mapping in the intermediate sense in a real Hilbert space.
We prove strong convergence theorem for the iterative algorithm under suitable conditions.
On the other hand, we also propose another iterative algorithm by hybrid shrinking projection method for finding a fixed point of infinitely many nonexpansive mappings with the same constraints, and derive its strong convergence under mild assumptions.
American Psychological Association (APA)
Ceng, Lu-Chuan& Liao, Cheng-Wen& Pang, Chin-Tzong& Wen, Ching-Feng. 2014. Convex Minimization with Constraints of Systems of Variational Inequalities, Mixed Equilibrium, Variational Inequality, and Fixed Point Problems. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-28.
https://search.emarefa.net/detail/BIM-446812
Modern Language Association (MLA)
Ceng, Lu-Chuan…[et al.]. Convex Minimization with Constraints of Systems of Variational Inequalities, Mixed Equilibrium, Variational Inequality, and Fixed Point Problems. Journal of Applied Mathematics No. 2014 (2014), pp.1-28.
https://search.emarefa.net/detail/BIM-446812
American Medical Association (AMA)
Ceng, Lu-Chuan& Liao, Cheng-Wen& Pang, Chin-Tzong& Wen, Ching-Feng. Convex Minimization with Constraints of Systems of Variational Inequalities, Mixed Equilibrium, Variational Inequality, and Fixed Point Problems. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-28.
https://search.emarefa.net/detail/BIM-446812
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-446812