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A Modified Halpern-Type Iterative Method of a System of Equilibrium Problems and a Fixed Point for a Totally Quasi-f-Asymptotically Nonexpansive Mapping in a Banach Space.
- Source :
-
Journal of Applied Mathematics . 2012, p1-19. 19p. - Publication Year :
- 2012
-
Abstract
- The purpose of this paper is to introduce the modified Halpern-type iterative method by the generalized f -projection operator for finding a common solution of fixed-point problem of a totally quasi-f-asymptotically nonexpansive mapping and a system of equilibrium problems in a uniform smooth and strictly convex Banach space with the Kadec-Klee property. Consequently, we prove the strong convergence for a common solution of above two sets. Our result presented in this paper generalize and improve the result of Chang et al., (2012), and some others. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 1110757X
- Database :
- Academic Search Index
- Journal :
- Journal of Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 84862058
- Full Text :
- https://doi.org/10.1155/2012/750732