Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica (Jan 2015)

An extragradient iterative scheme for common fixed point problems and variational inequality problems with applications

  • Petruşel Adrian,
  • Sahu D.R.,
  • Sagar Vidya

DOI
https://doi.org/10.1515/auom-2015-0017
Journal volume & issue
Vol. 23, no. 1
pp. 247 – 266

Abstract

Read online

In this paper, by combining a modified extragradient scheme with the viscosity approximation technique, an iterative scheme is developed for computing the common element of the set of fixed points of a sequence of asymptotically nonexpansive mappings and the set of solutions of the variational inequality problem for an α-inverse strongly monotone mapping. We prove a strong convergence theorem for the sequences generated by this scheme and give some applications of our convergence theorem.

Keywords