Algorithmic approach to the solution of pseudomonotone equilibrium problems and generalized variational inequalities-Reference-Cited by-同舟云学术

Algorithmic approach to the solution of pseudomonotone equilibrium problems and generalized variational inequalities

Published:2022 Issue:12 Volume:36 Page:3969-3980
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Yao Zhangsong¹,Postolache Mihai²

Affiliation:

1. School of Information Engineering, Nanjing Xiaozhuang University, Nanjing, China

2. Department of Mathematics & Informatics, University Politehnica of Bucharest, Bucharest, Romania + Gheorghe Mihoc-Caius Iacob Institute of Mathematical Statistics and Applied Mathematics of the Romanian Academy, Bucharest, Romania

Abstract

In this paper, we consider pseudomonotone equilibrium problems and generalized variational inequalities in Hilbert spaces. We suggest an iterative procedure for solving pseudomonotone equilibrium problems and generalized variational inequalities. Strong convergence result is proved under some mild assumptions.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference49 articles.

1. M. A. Alghamdi, W. A. Kirk, N. Shahzad, Transfinite iterations in CAT(0) spaces, J. Nonlinear Convex Anal., 18(2017), 1923-1931.

2. V. Berinde, M. Pacurar, Kannan’s fixed point approximation for solving split feasibility and variational inequality problems, J. Comput. Appl. Math., 386(2021), Art. ID 113217.

3. A. Cegielski, Generalized relaxations of nonexpansive operators and convex feasibility problems, Contemp. Math., 513(2010), 111-123.

4. L. C. Ceng, A. Petrusel, J. C. Yao, Y. Yao, Hybrid viscosity extragradient method for systems of variational inequalities, fixed Points of nonexpansive mappings, zero points of accretive operators in Banach spaces, Fixed Point Theory, 19(2)(2018), 487-502.

5. L. C. Ceng, A. Petrusel, J. C. Yao, Y. Yao, Systems of variational inequalities with hierarchical variational inequality constraints for Lipschitzian pseudocontractions, Fixed Point Theory, 20(1)(2019), 113-133.

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