E. Blum and W. Oettli, “From Optimization and Variational Inequalities to Equilibrium Problems,” Mathematical Studies, Vol. 63, No. 1/4, 1994, pp. 123-145.
has been cited by the following article:
TITLE: Fixed Point of a Countable Family of Uniformly Totally Quasi- Ø -Asymptotically Nonexpansive Multi-Valued Mappings in Reflexive Banach Spaces with Applications
AUTHORS: Yi Li
KEYWORDS: Multi-Valued Mapping; Totally Quasi- Ø -Asymptotically Nonexpansive; Countable Family of Uniformly Totally Quasi- Ø -Asymptotically Nonexpansive Multi-Valued Mappings; Firmly Convergence
JOURNAL NAME: Applied Mathematics, Vol.4 No.9A, August 30, 2013
ABSTRACT: The purpose of this article is to discuss a modified Halpern-type iteration algorithm for a countable family of uniformly totally quasi- ? -asymptotically nonexpansive multi-valued mappings and establish some strong convergence theorems under certain conditions. We utilize the theorems to study a modified Halpern-type iterative algorithm for a system of equilibrium problems. The results improve and extend the corresponding results of Chang et al. (Applied Mathematics and Computation, 218, 6489-6497).