A strong convergence theorem for finite families of Bregman quasi-nonexpansive and monotone mappings in Banach spaces



	A strong convergence theorem for finite families of Bregman quasi-nonexpansive and monotone mappings in Banach spaces


	Fixed Point Theory, Volume 21, No. 1, 2020, 167-180, February 1st, 2020 DOI: 10.24193/fpt-ro.2020.1.12 Authors: Enyinnaya Ekuma-Okereke and Abiodun Tinuoye Oladip Abstract: We introduce a new iterative scheme and prove a strong convergence theorem for it. This iterative scheme finds a common point in the set of fixed points of a finite family of Bregman quasi-nonexpansive mappings and the common solution set of the variational inequality problem for continuous monotone mappings. Key Words and Phrases: Bregman quasi-nonexpansive mappings, strong convergence, continuous monotone mappings, fixed point. 2010 Mathematics Subject Classification: 47H09, 47H10, 47J25, 47H05, 4705. Published on-line: February 1st, 2020. Abstract pdf Fulltext pdf Back to volume's table of contents