Title :
New iterative schemes for equilibrium problems and fixed point problems of nonspreading mappings and nonexpansive mappings
Author :
Li, Wei ; Duan, Li-ling
Author_Institution :
Sch. of Math. & Stat., Hebei Univ. of Econ. & Bus., Shijiazhuang, China
Abstract :
In this paper, some new iterative schemes for approximating the common element of the set of solutions of an equilibrium problem, the set of fixed points of nonspreading mappings and the set of fixed points of nonexpansive mappings are presented in Hilbert spaces. Some strong convergence theorems are obtained by using some new mathematical ideas and methods. The work that will be done has significance in the area of applied mathematics, economics, optimization theory, engineering sciences and some others.
Keywords :
Hilbert spaces; iterative methods; Hilbert spaces; equilibrium problems; fixed point problems; iterative schemes; mathematical ideas; mathematical methods; nonexpansive mappings; nonspreading mappings; optimization theory; Educational institutions; Nonspreading mapping; equilibrium problem; fixed point; nonexpansive mapping; strong convergence;
Conference_Titel :
Machine Learning and Cybernetics (ICMLC), 2010 International Conference on
Conference_Location :
Qingdao
Print_ISBN :
978-1-4244-6526-2
DOI :
10.1109/ICMLC.2010.5581084
