Iterative Schemes for Convex Minimization Problems with Constraints

Lu-Chuan Ceng, Cheng-Wen Liao, Chin-Tzong Pang and Ching-Feng Wen

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: 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.

Date: 2014
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https://doi.org/10.1155/2014/209372

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:209372

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