Hybrid extragradient-type algorithm for zeros and fixed point problems in Banach spaces

Journal of Linear and Topological Algebra

مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 11 بهمن 1402

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.30495/jlta.2024.1999141.1593

نویسندگان

B. Ali^{* 1}؛ A. A. Alasan^{1، 2}

¹Department of Mathematical Sciences, Bayero University, Kano, Nigeria

²Department of Basic Studies, Kano State Polytechnic, Kano, Nigeria

چکیده

In this paper, we introduce a new hybrid extragradient-type algorithm for approximating an element in the set of common solutions of equilibrium problems and common fixed points of family of Bregman demigeneralized mappings which is also a common zero of the sum of maximal monotone and Bregman inverse strongly monotone operators in the setting of reflexie Banach space. Strong convergence of the proposed algorithm to a solutions of the said problems is established which improves and generalizes many recently announced results in the literature.
 

کلیدواژه‌ها

Equilibrium problem؛ maximal monotone operator؛ Bregman inverse strongly monotone operator؛ Bregman demigeneralized mapping