Strong convergence theorems for mixed equilibrium problems and Bregman relatively nonexpansive mappings in reflexive Banach spaces.

Autor: Jantakarn, Kittisak, Kaewcharoen, Anchalee
Předmět:
Zdroj: Journal of Nonlinear Sciences & Applications (JNSA); 2021, Vol. 14 Issue 2, p63-79, 17p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index