Title of article :
New hybrid method for equilibrium problems and relatively nonexpansive mappings in Banach spaces
Author/Authors :
Alizadeh, Sattar Department of Mathematics - Marand Branch - Islamic Azad University, Marand , Moradlou, Fridoun Department of Mathematics - Sahand University of Technology, Tabriz
Abstract :
In this paper, applying hybrid projection method, a new modied 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
Journal title :
Astroparticle Physics
