Open Access
2014 Iterative Schemes for Convex Minimization Problems with Constraints
Lu-Chuan Ceng, Cheng-Wen Liao, Chin-Tzong Pang, Ching-Feng Wen
Abstr. Appl. Anal. 2014(SI69): 1-22 (2014). DOI: 10.1155/2014/209372


We first introduce and analyze one implicit iterative algorithm for finding a solution of the minimization problem for a convex and continuously Fréchet differentiable functional, with constraints of several problems: the generalized mixed equilibrium problem, the system of generalized equilibrium problems, and finitely many variational inclusions in a real Hilbert space. We prove strong convergence theorem for the iterative algorithm under suitable conditions. On the other hand, we also propose another implicit iterative algorithm for finding a fixed point of infinitely many nonexpansive mappings with the same constraints, and derive its strong convergence under mild assumptions.


Download Citation

Lu-Chuan Ceng. Cheng-Wen Liao. Chin-Tzong Pang. Ching-Feng Wen. "Iterative Schemes for Convex Minimization Problems with Constraints." Abstr. Appl. Anal. 2014 (SI69) 1 - 22, 2014.


Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07021933
MathSciNet: MR3208520
Digital Object Identifier: 10.1155/2014/209372

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI69 • 2014
Back to Top