On common solutions gradient algorithms, strong convergence theorems and their applications

Volume 9, Issue 5, pp 2753--2765 http://dx.doi.org/10.22436/jnsa.009.05.71

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Authors

Qing Yuan - Department of Mathematics, Linyi University, Linyi 276000, China. Zunwei Fu - Department of Mathematics, The University of Suwon, P. O. Box 77, Suwon, Korea.

Abstract

In this article, the common solutions of various nonlinear problems are investigated based on gradient algorithms. We obtain the strong convergence of the gradient algorithm in the framework of Hilbert spaces. We also give some applications to support the main results.

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Keywords

• Hilbert space
• variational inequality
• gradient algorithm
• metric projection.

MSC

•  47H05
•  90C33

References

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