Convergence Analysis for a System of Generalized Equilibrium Problems and a Countable Family of Strict Pseudocontractions. (4th January 2011)

• Record Type: Journal Article
• Authors: Cholamjiak, Prasit; Suantai, Suthep
• Other Names: Yao Jen Chih Academic Editor.
• Is Part Of: Fixed point theory and applications. Volume 2011(2011)
• Publication Date: 2011-01-04
• Subjects: Fixed point theory -- Periodicals; Mappings (Mathematics) -- Periodicals; 515.7248
• DOI: 10.1155/2011/941090
• Languages: English
• ISSNs: 1687-1812

Abstract

Abstract : We introduce a new iterative algorithm for a system of generalized equilibrium problems and a countable family of strict pseudocontractions in Hilbert spaces. We then prove that the sequence generated by the proposed algorithm converges strongly to a common element in the solutions set of a system of generalized equilibrium problems and the common fixed points set of an infinitely countable family of strict pseudocontractions.