- Tytuł:
- Construction of a common element for the set of solutions of fixed point problems and generalized equilibrium problems in Hilbert spaces
- Autorzy:
- Khan, Muhammad Aqeel Ahmad
- Powiązania:
- https://bibliotekanauki.pl/articles/744677.pdf
- Data publikacji:
- 2016-12-01
- Wydawca:
- Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
- Tematy:
-
fixed point
strict pseudo-contraction
equilibrium problem
variational inequality problem
inverse strongly monotone mapping
shrinking projection method - Opis:
- 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.
- Źródło:
-
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica; 2016, 15
2300-133X - Pojawia się w:
- Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł