Construction of a common element for the set of solutions of fixed point problems and generalized equilibrium problems in Hilbert spaces

Muhammad Aqeel Ahmad Khan. "Construction of a common element for the set of solutions of fixed point problems and generalized equilibrium problems in Hilbert spaces." Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 15 (2016): 79-96. <http://eudml.org/doc/287059>.

@article{MuhammadAqeelAhmadKhan2016,
abstract = {In this paper, we propose and analyse an iterative algorithm for the approximation of a common solution for a finite family of k-strict pseudocontractions and two finite families of generalized equilibrium problems in the setting of Hilbert spaces. Strong convergence results of the proposed iterative algorithm together with some applications to solve the variational inequality problems are established in such setting. Our results generalize and improve various existing results in the current literature.},
author = {Muhammad Aqeel Ahmad Khan},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
keywords = {fixed point; strict pseudo-contraction; equilibrium problem; variational inequality problem; inverse strongly monotone mapping; shrinking projection method},
language = {eng},
pages = {79-96},
title = {Construction of a common element for the set of solutions of fixed point problems and generalized equilibrium problems in Hilbert spaces},
url = {http://eudml.org/doc/287059},
volume = {15},
year = {2016},
}

TY - JOUR
AU - Muhammad Aqeel Ahmad Khan
TI - Construction of a common element for the set of solutions of fixed point problems and generalized equilibrium problems in Hilbert spaces
JO - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
PY - 2016
VL - 15
SP - 79
EP - 96
AB - In this paper, we propose and analyse an iterative algorithm for the approximation of a common solution for a finite family of k-strict pseudocontractions and two finite families of generalized equilibrium problems in the setting of Hilbert spaces. Strong convergence results of the proposed iterative algorithm together with some applications to solve the variational inequality problems are established in such setting. Our results generalize and improve various existing results in the current literature.
LA - eng
KW - fixed point; strict pseudo-contraction; equilibrium problem; variational inequality problem; inverse strongly monotone mapping; shrinking projection method
UR - http://eudml.org/doc/287059
ER -