![](/images/graphics-bg.png)
New Generalized Mixed Equilibrium Problem with Respect to Relaxed Semi-Monotone Mappings in Banach Spaces
Joint Authors
Preechasilp, Pakkapon
Wangkeeree, Rabian
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-10
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
We introduce the new generalized mixed equilibrium problem with respect to relaxed semimonotone mappings.
Using the KKM technique, we obtain the existence of solutions for the generalized mixed equilibrium problem in Banach spaces.
Furthermore, we also introduce a hybrid projection algorithm for finding a common element in the solution set of a generalized mixed equilibrium problem and the fixed point set of an asymptotically nonexpansive mapping.
The strong convergence theorem of the proposed sequence is obtained in a Banach space setting.
The main results extend various results existing in the current literature.
American Psychological Association (APA)
Wangkeeree, Rabian& Preechasilp, Pakkapon. 2012. New Generalized Mixed Equilibrium Problem with Respect to Relaxed Semi-Monotone Mappings in Banach Spaces. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-25.
https://search.emarefa.net/detail/BIM-993696
Modern Language Association (MLA)
Wangkeeree, Rabian& Preechasilp, Pakkapon. New Generalized Mixed Equilibrium Problem with Respect to Relaxed Semi-Monotone Mappings in Banach Spaces. Journal of Applied Mathematics No. 2012 (2012), pp.1-25.
https://search.emarefa.net/detail/BIM-993696
American Medical Association (AMA)
Wangkeeree, Rabian& Preechasilp, Pakkapon. New Generalized Mixed Equilibrium Problem with Respect to Relaxed Semi-Monotone Mappings in Banach Spaces. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-25.
https://search.emarefa.net/detail/BIM-993696
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993696