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

• Autorzy: Muhammad Aqeel Ahmad Khan
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

fixed point; strict pseudo-contraction; equilibrium problem; variational inequality problem; inverse strongly monotone mapping; shrinking projection method

Kategorie tematyczne

• 47H09: Contraction-type mappings, nonexpansive mappings, A -proper mappings, etc.
• 47H05: Monotone operators and generalizations

• Wydawca: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
• Czasopismo: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
• Rocznik: 2016
• Tom: 15

Daty

wydano

2016-12-01

otrzymano

2016-05-25

zaakceptowano

2016-09-26

online

2016-12-23

Twórcy

autor

Muhammad Aqeel Ahmad Khan

• Department of Mathematics, Comsats Institute of Information Technology, Lahore 54000,

Identyfikatory

DOI

10.1515/aupcsm-2016-0007