Triple-hierarchical problems with variational inequality

Thanyarat JItpeera; Tamaki Tanaka; Poom Kumam

doi:10.3934/naco.2021038

Article Contents

2022, Volume 12, Issue 4: 837-858. Doi: 10.3934/naco.2021038

This issue Previous Article Inertial method for split null point problems with pseudomonotone variational inequality problems Next Article Modified inertial algorithm for solving mixed equilibrium problems in Hadamard spaces

Triple-hierarchical problems with variational inequality

1.
Department of Mathematics, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna, 99 Chiangrai 57120, Thailand
2.
Department of Mathematics, Graduate School of Science and Technology, Niigata University, Niigata 950-2181, Japan
3.
Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi, 126 Bangkok 10140, Thailand

^* Corresponding author: Thanyarat Jitpeera
^* Corresponding author: Thanyarat Jitpeera

Received: August 31, 2020

Revised: July 31, 2021

Early access: September 2021

Published: December 2022

The first author is supported by RMUTL

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Abstract

In this paper, we suggest and analyze an iterative scheme for finding the triple-hierarchical problem in a real Hilbert space. We also consider the strong convergence for the proposed method under some assumptions. Our results extend ones of Ceng et. al (2011) [2], Yao et. al (2011) [24].

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Mathematics Subject Classification: Primary: 46C05, 47H06, 47H09, 47H10, 47J20, 47J25; Secondary: 65J15.

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