Korean J. Math. Vol. 24 No. 1 (2016) pp.51-63
DOI: https://doi.org/10.11568/kjm.2016.24.1.51

Regularized equilibrium problems in Banach spaces

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Published: Mar 30, 2016
Keywords:
Regularized equilibrium problems, Regularized variational inequalities, uniformly $r$-prox regular sets, nonconvex sets, iterative methods, convergence analysis, Banach spaces.
Mathematics Subject Classification:
49J40, 47H06.

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Salahuddin .
Department of Mathematics Jazan University Jazan, Kingdom of Saudi Arabia.

Abstract

In this works, we consider a class of regularized equilibrium problems in Banach spaces. By using the auxiliary principle techniques to suggest some iterative schemes for regularized equilibrium problems and proved the convergence of these iterative methods required either pseudoaccretivity or partially relaxed strongly accretivity.


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References

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