Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2012, Special Issue (2012), Article ID 376421, 18 pages.

The Meir-Keeler Type for Solving Variational Inequalities and Fixed Points of Nonexpansive Semigroups in Banach Spaces

Phayap Katchang and Poom Kumam

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Abstract

The aim of this paper is to introduce a new iterative scheme for finding common solutions of the variational inequalities for an inverse strongly accretive mapping and the solutions of fixed point problems for nonexpansive semigroups by using the modified viscosity approximation method associate with Meir-Keeler type mappings and obtain some strong convergence theorem in a Banach spaces under some parameters controlling conditions. Our results extend and improve the recent results of Li and Gu (2010), Wangkeeree and Preechasilp (2012), Yao and Maruster (2011), and many others.

Article information

Source
J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 376421, 18 pages.

Dates
First available in Project Euclid: 3 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357177649

Digital Object Identifier
doi:10.1155/2012/376421

Mathematical Reviews number (MathSciNet)
MR2979444

Zentralblatt MATH identifier
1251.49009

Citation

Katchang, Phayap; Kumam, Poom. The Meir-Keeler Type for Solving Variational Inequalities and Fixed Points of Nonexpansive Semigroups in Banach Spaces. J. Appl. Math. 2012, Special Issue (2012), Article ID 376421, 18 pages. doi:10.1155/2012/376421. https://projecteuclid.org/euclid.jam/1357177649


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