An Iterative Shrinking Metric f‐Projection Method for Finding a Common Fixed Point of a Closed and Quasi‐Strictf‐Pseudocontraction and a Countable Family of Firmly Nonexpansive Mappings and Applications in Hilbert Spaces

Kasamsuk Ungchittrakool and Duangkamon Kumtaeng

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We create some new ideas of mappings called quasi‐strict f‐pseudocontractions. Moreover, we also find the significant inequality related to such mappings and firmly nonexpansive mappings within the framework of Hilbert spaces. By using the ideas of metric f‐projection, we propose an iterative shrinking metric f‐projection method for finding a common fixed point of a quasi‐strict f‐pseudocontraction and a countable family of firmly nonexpansive mappings. In addition, we provide some applications of the main theorem to find a common solution of fixed point problems and generalized mixed equilibrium problems as well as other related results.

Date: 2013
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2013/589282

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:589282

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().