Abstract and Applied Analysis

The Hybrid Projection Methods for Pseudocontractive, Nonexpansive Semigroup, and Monotone Mapping

Phayap Katchang and Somyot Plubtieng

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Abstract

We modify the three-step iterative schemes to prove the strong convergence theorems by using the hybrid projection methods for finding a common element of the set of solutions of fixed points for a pseudocontractive mapping and a nonexpansive semigroup mapping and the set of solutions of a variational inequality problem for a monotone mapping in a Hilbert space under some appropriate control conditions. Our theorems extend and unify most of the results that have been proved for this class of nonlinear mappings.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 813701, 8 pages.

Dates
First available in Project Euclid: 6 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412606569

Digital Object Identifier
doi:10.1155/2014/813701

Mathematical Reviews number (MathSciNet)
MR3214454

Zentralblatt MATH identifier
07023128

Citation

Katchang, Phayap; Plubtieng, Somyot. The Hybrid Projection Methods for Pseudocontractive, Nonexpansive Semigroup, and Monotone Mapping. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 813701, 8 pages. doi:10.1155/2014/813701. https://projecteuclid.org/euclid.aaa/1412606569


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