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A New Iterative Method for Equilibrium Problems and Fixed Point Problems
Joint Authors
Eslamian, Mohammad
Latif, Abdul
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-31
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Introducing a new iterative method, we study the existence of a common element of the set of solutions of equilibrium problems for a family of monotone, Lipschitz-type continuous mappings and the sets of fixed points of two nonexpansive semigroups in a real Hilbert space.
We establish strong convergence theorems of the new iterative method for the solution of the variational inequality problem which is the optimality condition for the minimization problem.
Our results improve and generalize the corresponding recent results of Anh (2012), Cianciaruso et al.
(2010), and many others.
American Psychological Association (APA)
Latif, Abdul& Eslamian, Mohammad. 2013. A New Iterative Method for Equilibrium Problems and Fixed Point Problems. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-452108
Modern Language Association (MLA)
Latif, Abdul& Eslamian, Mohammad. A New Iterative Method for Equilibrium Problems and Fixed Point Problems. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-452108
American Medical Association (AMA)
Latif, Abdul& Eslamian, Mohammad. A New Iterative Method for Equilibrium Problems and Fixed Point Problems. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-452108
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452108