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Strong Convergence Theorem on Split Equilibrium and Fixed Point Problems in Hilbert Spaces
- Source :
- Bulletin of the Malaysian Mathematical Sciences Society. 41:1309-1326
- Publication Year :
- 2016
- Publisher :
- Springer Science and Business Media LLC, 2016.
-
Abstract
- In this paper, we propose an iterative algorithm to find the common element of set of solutions of a split equilibrium problem and set of fixed points of an asymptotically nonexpansive mapping in Hilbert spaces. The new method is used to prove the strong convergence for the result of this paper. The result extends the corresponding one in the literature.
- Subjects :
- 021103 operations research
Iterative method
General Mathematics
010102 general mathematics
Mathematical analysis
0211 other engineering and technologies
Hilbert space
02 engineering and technology
Fixed point
01 natural sciences
Set (abstract data type)
symbols.namesake
Convergence (routing)
symbols
Applied mathematics
Equilibrium problem
Common element
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 21804206 and 01266705
- Volume :
- 41
- Database :
- OpenAIRE
- Journal :
- Bulletin of the Malaysian Mathematical Sciences Society
- Accession number :
- edsair.doi...........0ed53fcf79c9013bceccda751643a4c4