Approximation methods for common solutions of generalized equilibrium, systems of nonlinear variational inequalities and fixed point problems

✍ Scribed by Yeol Je Cho; Ioannis K. Argyros; Narin Petrot

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 266 KB
• Volume: 60
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2010.08.021

✦ Synopsis

In this paper, we introduce an iterative method for finding a common element of the set of solutions of the generalized equilibrium problems, the set of solutions for the systems of nonlinear variational inequalities problems and the set of fixed points of nonexpansive mappings in Hilbert spaces. Furthermore, we apply our main result to the set of fixed points of an infinite family of strict pseudo-contraction mappings. The results obtained in this paper are viewed as a refinement and improvement of the previously known results.