Geodesic
Strong convergence theorems for mixed equilibrium problems and Bregman relatively nonexpansive mappings in reflexive Banach spaces
Jantakarn, Kittisak 1 ; Kaewcharoen, Anchalee 1
1 Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand
Journal of nonlinear sciences and its applications, Tome 14 (2021) no. 2, p. 63-79.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.014.02.02
Classification : 47H10, 54H25
Keywords: Mixed equilibrium problems, Bregman relatively nonexpansive mappings, reflexive Banach spaces

Jantakarn, Kittisak  1 ; Kaewcharoen, Anchalee  1

1 Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand 
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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 its applications, Tome 14 (2021) no. 2, p. 63-79. doi : 10.22436/jnsa.014.02.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.014.02.02/

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