Journal of Applied Mathematics

Shrinking Projection Method of Fixed Point Problems for Asymptotically Pseudocontractive Mapping in the Intermediate Sense and Mixed Equilibrium Problems in Hilbert Spaces

Pattanapong Tianchai

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Abstract

This paper is concerned with a common element of the set of fixed point for an asymptotically pseudocontractive mapping in the intermediate sense and the set of solutions of the mixed equilibrium problems in Hilbert spaces. The strong convergence theorem for the above two sets is obtained by a general iterative scheme based on the shrinking projection method, which extends and improves that of Qin et al. (2010) and many others.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 187421, 19 pages.

Dates
First available in Project Euclid: 15 March 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1331817620

Digital Object Identifier
doi:10.1155/2012/187421

Mathematical Reviews number (MathSciNet)
MR2846450

Zentralblatt MATH identifier
1295.47096

Citation

Tianchai, Pattanapong. Shrinking Projection Method of Fixed Point Problems for Asymptotically Pseudocontractive Mapping in the Intermediate Sense and Mixed Equilibrium Problems in Hilbert Spaces. J. Appl. Math. 2012 (2012), Article ID 187421, 19 pages. doi:10.1155/2012/187421. https://projecteuclid.org/euclid.jam/1331817620


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