Strong convergence theorems for mixed equilibrium problems and Bregman relatively nonexpansive mappings in reflexive Banach spaces
Volume 14, Issue 2, pp 63--79
http://dx.doi.org/10.22436/jnsa.014.02.02
Publication Date: July 03, 2020
Submission Date: October 22, 2019
Revision Date: February 11, 2020
Accteptance Date: February 19, 2020
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Authors
Kittisak Jantakarn
- Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand.
Anchalee Kaewcharoen
- Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand.
Abstract
In this paper, we propose a new iterative method for solving the mixed equilibrium problems and the fixed point problems for a countable family of Bregman relatively nonexpansive mappings in reflexive Banach spaces. We prove that the sequence generated by the proposed iterative algorithm converges strongly to a common solution of the mentioned problems. Further, a numerical example of the iterative algorithm supporting our main result is presented.
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ISRP Style
Kittisak Jantakarn, Anchalee Kaewcharoen, Strong convergence theorems for mixed equilibrium problems and Bregman relatively nonexpansive mappings in reflexive Banach spaces, Journal of Nonlinear Sciences and Applications, 14 (2021), no. 2, 63--79
AMA Style
Jantakarn Kittisak, Kaewcharoen Anchalee, Strong convergence theorems for mixed equilibrium problems and Bregman relatively nonexpansive mappings in reflexive Banach spaces. J. Nonlinear Sci. Appl. (2021); 14(2):63--79
Chicago/Turabian Style
Jantakarn, Kittisak, Kaewcharoen, Anchalee. "Strong convergence theorems for mixed equilibrium problems and Bregman relatively nonexpansive mappings in reflexive Banach spaces." Journal of Nonlinear Sciences and Applications, 14, no. 2 (2021): 63--79
Keywords
- Mixed equilibrium problems
- Bregman relatively nonexpansive mappings
- reflexive Banach spaces
MSC
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