Document Type : Research Paper

Authors

• Sattar Alizadeh ¹
• Fridoun Moradlou ²

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

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

Abstract

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.

Keywords

• Equilibrium problems
• Fixed point
• Hybrid method
• Relatively nonexpansive mapping
• Weak convergence