An extragradient iterative scheme by viscosity approximation methods for fixed point problems and variational inequality problems

• Autorzy: Adrian Petruşel , Jen-Chih Yao
• Języki publikacji: EN

Abstrakty

EN

In this paper, we introduce a new iterative process for finding the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality problem for an α-inverse-strongly-monotone, by combining an modified extragradient scheme with the viscosity approximation method. We prove a strong convergence theorem for the sequences generated by this new iterative process.

Słowa kluczowe

EN

Modified extragradient method; Viscosity approximation method; Fixed point; α-inverse-strongly-monotone mapping; Nonexpansive mapping; Variational inequalities

Kategorie tematyczne

• 90C29: Multi-objective and goal programming
• 47H10: Fixed-point theorems
• 49J40: Variational methods including variational inequalities

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2009
• Tom: 7
• Numer: 2
• Strony: 335-347

Daty

wydano

2009-06-01

online

2009-05-24

Twórcy

autor

Adrian Petruşel

• Department of Applied Mathematics, Babeş-Bolyai University Cluj-Napoca, Cluj-Napoca, Romania

autor

Jen-Chih Yao

• Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-009-0003-x