Modified inertial subgradient extragradient algorithms for generalized equilibria systems with constraints of variational inequalities and fixed points-Reference-Cited by-同舟云学术

Modified inertial subgradient extragradient algorithms for generalized equilibria systems with constraints of variational inequalities and fixed points

Published:2024 Issue:6 Volume:9 Page:13819-13842
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Ceng Lu-Chuan¹,Chen Shih-Hsin²,Liou Yeong-Cheng³⁴,Yin Tzu-Chien⁵

Affiliation:

1. Department of Mathematics, Shanghai Normal University, Shanghai 200234, China

2. Department of Computer Science and Information Engineering, Tamkang University, Taiwan

3. Department of Healthcare Administration and Medical Informatics, and Research Center of Nonlinear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung 807, Taiwan

4. Project Management Office for Intelligence Healthcare, and Department of Medical Research, Kaohsiung Medical University Hospital, Kaohsiung 807, Taiwan

5. Research Center for Interneural Computing, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

Abstract

<abstract><p>In this research, we studied modified inertial composite subgradient extragradient implicit rules for finding solutions of a system of generalized equilibrium problems with a common fixed-point problem and pseudomonotone variational inequality constraints. The suggested methods consisted of an inertial iterative algorithm, a hybrid deepest-descent technique, and a subgradient extragradient method. We proved that the constructed algorithms converge to a solution of the considered problem, which also solved some hierarchical variational inequality.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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