Strong Convergence of an Iterative Method for Generalized Mixed Equilibrium Problems and Fixed Point Problems - Applied Mathematics

AM > Vol.2 No.10, October 2011

Applied Mathematics

Volume 2, Issue 10 (October 2011)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

Strong Convergence of an Iterative Method for Generalized Mixed Equilibrium Problems and Fixed Point Problems ()

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DOI: 10.4236/am.2011.210169 5,655 Downloads 9,239 Views Citations

Author(s)

Lijun Chen, Jianhua Huang

Affiliation(s)

ABSTRACT

In this paper, we introduce a hybrid iterative method for finding a common element of the set of common solutions of generalized mixed equilibrium problems and the set of common fixed points of an finite family of nonexpansive mappings. Furthermore, we show a strong convergence theorem under some mild conditions.

KEYWORDS

Generalized Mixed Equilibrium Problem, Hybrid Iterative Scheme, Fixed Point, Nonexpansive Mapping, Strong Convergence

Share and Cite:

L. Chen and J. Huang, "Strong Convergence of an Iterative Method for Generalized Mixed Equilibrium Problems and Fixed Point Problems," Applied Mathematics, Vol. 2 No. 10, 2011, pp. 1213-1220. doi: 10.4236/am.2011.210169.

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