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

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica

Petruşel Adrian¹  Sagar Vidya²  Sahu D.R.² 

[1] Department of Mathematics, Babeş-Bolyai University Cluj-Napoca, Kogǎlniceanu Street, No. 1, 400084, Cluj-Napoca, Romania.;Department of Mathematics, Banaras Hindu University, Varanasi-221005, India.;

关键词: modified extragradient method;    viscosity approximation method;    α-inverse strongly monotone mapping;    sequence of asymptotically nonexpansive mappings;    variational inequalities;    af point property;    primary 47h10;    secondary 54h25;   

DOI  :  10.1515/auom-2015-0017

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown