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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 68, 2019 - Issue 8
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Articles

A new projection algorithm for solving constrained equilibrium problems in Hilbert spaces

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Pages 1447-1470 | Received 25 Dec 2016, Accepted 14 Mar 2019, Published online: 18 Apr 2019
 

ABSTRACT

In this paper, we introduce a new iterative scheme by combining the hyperplane projection method and the inertial technique for constrained equilibrium problems in real Hilbert spaces. The convergence of the proposed algorithm is established without requiring strict paramonotonicity property. The results presented in the paper extend and improve some recent results in the literature. In addition, a numerical example is given to illustrate the efficiency and performance of the proposed method.

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Acknowledgments

The author would like to express his appreciation to the editors and reviewers for evaluating the manuscript and for the constructive comments and suggestions, which have led to much improvement in the presentation.

Disclosure statement

No potential conflict of interest was reported by the author.

Correction Statement

This article has been republished with minor changes. These changes do not impact the academic content of the article

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