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

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.

KEYWORDS:

• Constrained equilibrium problem
• equilibrium problem
• variational inequality
• split variational inequality
• subgradient extragradient algorithm
• pseudomonotone bifunction

AMS CLASSIFICATIONS:

• 47J20
• 90C25

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.

ORCID

Nguyen The Vinh  http://orcid.org/0000-0003-3373-1881

Correction Statement

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