A New Computational Technique for Common Solutions between Systems of Generalized Mixed Equilibrium and Fixed Point Problems

Pongsakorn Sunthrayuth and Poom Kumam

Journal of Applied Mathematics, 2013, vol. 2013, 1-17

Abstract:

We introduce a new iterative algorithm for finding a common element of a fixed point problem of amenable semigroups of nonexpansive mappings, the set solutions of a system of a general system of generalized equilibria in a real Hilbert space. Then, we prove the strong convergence of the proposed iterative algorithm to a common element of the above three sets under some suitable conditions. As applications, at the end of the paper, we apply our results to find the minimum-norm solutions which solve some quadratic minimization problems. The results obtained in this paper extend and improve many recent ones announced by many others.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:230392

DOI: 10.1155/2013/230392

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