Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2012, Special Issue (2012), Article ID 516897, 19 pages.

Strong Convergence of a Hybrid Iteration Scheme for Equilibrium Problems, Variational Inequality Problems and Common Fixed Point Problems, of Quasi-ϕ-Asymptotically Nonexpansive Mappings in Banach Spaces

Jing Zhao

Full-text: Open access

Abstract

We introduce an iterative algorithm for finding a common element of the set of common fixed points of a finite family of closed quasi-ϕ-asymptotically nonexpansive mappings, the set of solutions of an equilibrium problem, and the set of solutions of the variational inequality problem for a γ-inverse strongly monotone mapping in Banach spaces. Then we study the strong convergence of the algorithm. Our results improve and extend the corresponding results announced by many others.

Article information

Source
J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 516897, 19 pages.

Dates
First available in Project Euclid: 3 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357179983

Digital Object Identifier
doi:10.1155/2012/516897

Mathematical Reviews number (MathSciNet)
MR2956505

Zentralblatt MATH identifier
1325.47139

Citation

Zhao, Jing. Strong Convergence of a Hybrid Iteration Scheme for Equilibrium Problems, Variational Inequality Problems and Common Fixed Point Problems, of Quasi- ϕ -Asymptotically Nonexpansive Mappings in Banach Spaces. J. Appl. Math. 2012, Special Issue (2012), Article ID 516897, 19 pages. doi:10.1155/2012/516897. https://projecteuclid.org/euclid.jam/1357179983


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