New hybrid method for equilibrium problems and relatively nonexpansive mappings in Banach spaces

Document Type : Research Paper


1 Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran

2 Department of Mathematics, Sahand University of Technology, Tabriz, Iran


In this paper, applying hybrid projection method, a new modified Ishikawa iteration scheme is presented for finding a common element of the solution set of an equilibrium problem and the set of fixed points of relatively nonexpansive mappings in Banach spaces. A numerical example is given and the numerical behaviour of the sequences generated by this algorithm is compared with several existence results in literature to illustrate the usability of obtained results.


Volume 9, Issue 1
September 2018
Pages 147-159
  • Receive Date: 05 August 2017
  • Revise Date: 26 January 2018
  • Accept Date: 19 July 2018