Geodesic
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, no. 15 (2016).

Voir la notice de l'article provenant de la source Library of Science

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.
Keywords: fixed point, strict pseudo-contraction, equilibrium problem, variational inequality problem, inverse strongly monotone mapping, shrinking projection method 
@article{AUPCM_2016_15_a3,
     author = {Khan, Muhammad Aqeel Ahmad},
     title = {Construction of a common element for the set of solutions of fixed point problems and generalized equilibrium problems in {Hilbert} spaces},
     journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
     publisher = {mathdoc},
     number = {15},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AUPCM_2016_15_a3/}
}
TY  - JOUR
AU  - Khan, Muhammad Aqeel Ahmad
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
IS  - 15
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AUPCM_2016_15_a3/
LA  - en
ID  - AUPCM_2016_15_a3
ER  - 
%0 Journal Article
%A Khan, Muhammad Aqeel Ahmad
%T Construction of a common element for the set of solutions of fixed point problems and generalized equilibrium problems in Hilbert spaces
%J Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
%D 2016
%N 15
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AUPCM_2016_15_a3/
%G en
%F AUPCM_2016_15_a3
Khan, Muhammad Aqeel Ahmad. 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, no. 15 (2016). http://geodesic.mathdoc.fr/item/AUPCM_2016_15_a3/