Existence and Modification of Halpern-Mann Iterations for Fixed Point and Generalized Mixed Equilibrium Problems with a Bifunction Defined on the Dual Space
Joint Authors
Phuangphoo, Pongrus
Kumam, Poom
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-30
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We study and establish the existence of a solution for a generalized mixed equilibrium problem with a bifunction defined on the dual space of a Banach space.
Furthermore, we also modify Halpern-Mann iterations for finding a common solution of a generalized mixed equilibrium problem and a fixed point problem.
Under suitable conditions of the purposed iterative sequences, the strong convergence theorems are established by using sunny generalized nonexpansive retraction in Banach spaces.
Our results extend and improve various results existing in the current literature.
American Psychological Association (APA)
Phuangphoo, Pongrus& Kumam, Poom. 2013. Existence and Modification of Halpern-Mann Iterations for Fixed Point and Generalized Mixed Equilibrium Problems with a Bifunction Defined on the Dual Space. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-496021
Modern Language Association (MLA)
Phuangphoo, Pongrus& Kumam, Poom. Existence and Modification of Halpern-Mann Iterations for Fixed Point and Generalized Mixed Equilibrium Problems with a Bifunction Defined on the Dual Space. Journal of Applied Mathematics No. 2013 (2013), pp.1-14.
https://search.emarefa.net/detail/BIM-496021
American Medical Association (AMA)
Phuangphoo, Pongrus& Kumam, Poom. Existence and Modification of Halpern-Mann Iterations for Fixed Point and Generalized Mixed Equilibrium Problems with a Bifunction Defined on the Dual Space. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-496021
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496021