Journal
VIETNAM JOURNAL OF MATHEMATICS
Volume 45, Issue 4, Pages 651-668Publisher
SPRINGER SINGAPORE PTE LTD
DOI: 10.1007/s10013-016-0237-4
Keywords
Split equilibrium problem; Split fixed point problem; Nonexpansive mapping; Weak and strong convergence; Pseudomonotonicity
Categories
Funding
- NAFOSTED [101.01-2014-24]
- Le Quy Don Technical University
Ask authors/readers for more resources
In this paper, we propose two new extragradient-proximal algorithms for solving split equilibrium and fixed point problems (SEFPP) in real Hilbert spaces, in which the first equilibrium bifunction is pseudomonotone, the second one is monotone, and the fixed point mappings are nonexpansive. By using the extragradient method incorporated with the proximal point algorithm and cutting techniques, we obtain algorithms for solving (SEFPP). Under certain conditions on parameters, the iteration sequences generated by the proposed algorithms are proved to be weakly and strongly convergent to a solution of (SEFPP). Our results improve and extend the previous results given in the literature.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available