Title
New Hybrid Steepest Descent Algorithms for Equilibrium Problem and Infinitely Many Strict Pseudo-Contractions in Hilbert Spaces.
Abstract
We propose an explicit iterative scheme for finding a common element of the set of fixed points of infinitely many strict pseudo-contractive mappings and the set of solutions of an equilibrium problem by the general iterative method, which solves the variational inequality. In the setting of real Hilbert spaces, strong convergence theorems are proved. The results presented in this paper improve and extend the corresponding results reported by some authors recently. Furthermore, two numerical examples are given to demonstrate the effectiveness of our iterative scheme.
Year
DOI
Venue
2013
10.1155/2013/139123
JOURNAL OF APPLIED MATHEMATICS
Field
DocType
Volume
Convergence (routing),Hilbert space,Gradient descent,Mathematical optimization,Iterative method,Mathematical analysis,Equilibrium problem,Fixed point,Mathematics,Variational inequality
Journal
2013
Issue
ISSN
Citations 
null
1110-757X
0
PageRank 
References 
Authors
0.34
3
1
Name
Order
Citations
PageRank
Peichao Duan171.96