Description

• Title:
  On split equality monotone variational inclusion and fixed point problems in reflexive Banach spaces
• Creator:
  Abass, Hammed Anuoluwapo;
  Oyewole, Olawale Kazeem;
  Aphane, Maggie
• Description:
  In this paper, motivated by the works of Akbar and Shahrosvand [Filomat {\bf 32} (2018), no.\ 11, 3917-3932], Ogbuisi and Izuchukwu [Numer. Funct. Anal. Optim. {\bf 41} (2020), no.\ 2, 322-343], and some other related results in the literature, we introduce a Halpern iterative algorithm and employ a Bregman distance approach for approximating a solution of split equality monotone variational inclusion problem and fixed point problem of Bregman relatively nonexpansive mapping in reflexive Banach spaces. Under suitable condition, we state and prove a strong convergence result for approximating a common solution of the aforementioned problems. Furthermore, we give an application of our main result to variational inequality problems and provide some numerical examples to illustrate the convergence behavior of our result. The result presented in this paper extends and complements many related results in literature.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2024 Hammed Anuoluwapo Abass, Olawale Kazeem Oyewole, Maggie Aphane;
  https://creativecommons.org/licenses/by-nd/4.0
• Date:
  2024.09.21
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 64, No 1 (September 2024); 317 - 338;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/55339/39782 ;https://apcz.umk.pl/TMNA/article/view/55339/39783
• Subject:
  Split equality problem;
  Bregman relatively nonexpansive mappings;
  monotone operators;
  iterative scheme;
  fixed point problem;
  Primary: 47H06, 47H09;
  Secondary: 47J05, 47J2
• Identifier: https://apcz.umk.pl/TMNA/article/view/55339
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other