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

Authors

  • Fridoun Moradlou Department of Mathematics, Sahand University of Technology, Tabriz, Iran
  • Sattar Alizadeh Department of Mathematics, Marand Branch, Islamic Azad University, Marand, 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.

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Journal title

volume 9  issue 1

pages  147- 159

publication date 2018-08-01

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