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Hybrid projection methods for equilibrium problems with non-Lipschitz type bifunctions.
- Source :
- Mathematical Methods in the Applied Sciences; Jul2017, Vol. 40 Issue 11, p4065-4079, 15p
- Publication Year :
- 2017
-
Abstract
- Based on the extended extragradient-like method and the linesearch technique, we propose three projection methods for finding a common solution of a finite family of equilibrium problems. The linesearch used in the proposed algorithms has allowed to reduce some conditions imposed on equilibrium bifunctions. The strongly convergent theorems are established without the Lipschitz-type condition of bifunctions. The paper also helps in the design and analysis of practical algorithms and gives us a generalization of some previously known problems. Copyright © 2017 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]
- Subjects :
- EQUILIBRIUM
STOCHASTIC convergence
ALGORITHMS
LIPSCHITZ spaces
STOCHASTIC processes
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 40
- Issue :
- 11
- Database :
- Complementary Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 123609261
- Full Text :
- https://doi.org/10.1002/mma.4286