New accelerated iterative algorithm for \(\mathbf{(\lambda,\rho)}\)-quasi firmly nonexpansive multiValued mappings

Document Type : Research Paper


Department of Mathematics, College of Education for Pure Science, Ibn Al-Haitham, University of Baghdad, Iraq


In this paper, introduced a new accelerated iterative algorithm in \((\lambda,\rho )\) -quasi firmly nonexpansive multi-valued mappings in modular function spaces and present some results for convergence to a fixed point in this mapping, we use faster convergence theorem to comparison our iteration with some other iterations and introduced numerical example. As an application, we have referred to previous work by other researchers.


Volume 14, Issue 1
January 2023
Pages 1825-1833
  • Receive Date: 08 August 2022
  • Revise Date: 30 September 2022
  • Accept Date: 12 October 2022