APPROXIMATIING METHODS FOR MONOTONE INCLUSION AND TWO VARIATIONAL INEQUALITY PROBLEMS

Authors

  • Nussara Pakdeerat Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok (KMUTNB), 1518, Pracharat 1 Road, Wongsawang, Bangsue, Bangkok, 10800, Thailand
  • Kanokwan Sitthithakerngkiet Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok (KMUTNB), 1518, Pracharat 1 Road, Wongsawang, Bangsue, Bangkok, 10800, Thailand

Keywords:

Variational inequality problems, Inclusion problems, monotone operators, maximal monotone operator

Abstract

In this work, we consider a common solution of the monotone inclusion problems and variational inequality problems in framework of Hilbert space. For solving this problem, we propose a new inertial forwardbackward algorithm involving an extrapolation factor and describe a projection-type method and also prove the strong convergence theorem of proposed algorithm under some mild conditions. For supporting our main results, we provide some numerical experiments in the real line.

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Published

2020-12-31

How to Cite

Pakdeerat, N., & Sitthithakerngkiet, K. (2020). APPROXIMATIING METHODS FOR MONOTONE INCLUSION AND TWO VARIATIONAL INEQUALITY PROBLEMS. Bangmod International Journal of Mathematical and Computational Science, 6, 71–89. Retrieved from https://bangmodjmcs.com/index.php/bangmodmcs/article/view/40

Issue

Vol. 6 (2020): January-December

Section

Research Article

License

Copyright (c) 2020 Bangmod International Journal of Mathematical and Computational Science

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.