A new strongly convergent algorithm to solve pseudo-monotone equilibrium problems in a real Hilbert space
Volume 24, Issue 4, pp 308--322
http://dx.doi.org/10.22436/jmcs.024.04.03
Publication Date: April 05, 2021
Submission Date: October 25, 2020
Revision Date: January 29, 2021
Accteptance Date: February 23, 2021
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Authors
Kanikar Muangchoo
- Faculty of Science and Technology, Rajamangala University of Technology Phra Nakhon (RMUTP), 1381 Pracharat 1 Road, Wongsawang, Bang Sue, Bangkok 10800, Thailand.
Abstract
The purpose of this research is to formulate a new algorithm by combining a viscosity-type method with the extragradient algorithm and explicit step size rule to figure out the equilibrium problems involving pseudo-monotone and Lipschitz-type continuous bi-function in a real Hilbert space. A strong convergence theorem is well-established by the use of certain mild conditions on the bi-function, as well as some conditions on the iterative control parameters. The designed algorithm uses a non-monotonic step size rule based on the local bi-function information. Applications of the main results are also presented to solve variational inequalities and fixed-point problems. The computational behaviour of the designed algorithm on a test problem is performed related to other existing algorithms.
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ISRP Style
Kanikar Muangchoo, A new strongly convergent algorithm to solve pseudo-monotone equilibrium problems in a real Hilbert space, Journal of Mathematics and Computer Science, 24 (2022), no. 4, 308--322
AMA Style
Muangchoo Kanikar, A new strongly convergent algorithm to solve pseudo-monotone equilibrium problems in a real Hilbert space. J Math Comput SCI-JM. (2022); 24(4):308--322
Chicago/Turabian Style
Muangchoo, Kanikar. "A new strongly convergent algorithm to solve pseudo-monotone equilibrium problems in a real Hilbert space." Journal of Mathematics and Computer Science, 24, no. 4 (2022): 308--322
Keywords
- Equilibrium problem
- strong convergence
- viscosity method
- Lipschitz-type conditions
- fixed point problems
- variational inequality problem
MSC
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