Title :
Iterative scheme for the system of generalized variational inequalities in non-compact subsets of Banach spaces
Author_Institution :
Dept. of Math., Shaoxing Univ., Shaoxing, China
Abstract :
By the properties of the generalized f-projection operator, an iterative scheme for the system of generalized variational inequalities is proposed in non-compact subsets of Banach spaces, and new existence theorems and results of approximating solutions for the iterative algorithm are given in uniformly convex and uniformly smooth Banach spaces.
Keywords :
Banach spaces; iterative methods; set theory; variational techniques; approximating solution; banach space; generalized f-operator; generalized variational inequality; iterative algorithm; iterative scheme; noncompact subset; Artificial neural networks; Convergence; Convex functions; Iterative algorithm; Iterative methods; Nickel; generalized f-projection operator; iteration scheme; the system of generalized variational inequality; uniformly convex and uniformly smooth Banach space;
Conference_Titel :
Computational Intelligence and Natural Computing Proceedings (CINC), 2010 Second International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-7705-0
DOI :
10.1109/CINC.2010.5643907
