a new computational technique for common solutions between systems of generalized mixed equilibrium and fixed point problems

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ID: 236407
2013
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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.
Reference Key
sunthrayuth2013journala Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Pongsakorn Sunthrayuth;Poom Kumam
Journal Chemico-biological interactions
Year 2013
DOI
10.1155/2013/230392
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