Work

On subgradient extragradient rule with inertial correction for bilevel pseudomonotone VIP with constraints of equilibria system and split CFPP

Year: 2025

Type: article

Abstract: In this paper, let the BPVIP, GEPS, and SCFPP represent a bilevel pseudomonotone variational inequality problem, a generalized equilibrium problems system, and a split common fixed point problem involving demimetric mappings in real Hilbert spaces, respectively. We devise a composite subgradient extragradient rule with an inertial correction term for solving the BPVIP with constraints of GEPS and SCFPP, where the rule exploits the inertial technique with a correction term and a self-adaptive stepsize strategy. The BPVIP consists of the upper-level VIP for one strongly monotone operator and the lower-level VIP for another pseudomonotone operator. The strong convergence result for the designed algorithm is established under certain suitable conditions. In addition, the main result is employed to handle a bilevel split pseudomonotone variational inequality problem (BSPVIP). Lastly, an illustrated instance is utilized to back up the applicability and performability of the suggested rule.

Source: Filomat

DOI: 10.2298/fil2506039c

Authors: Lu-Chuan Ceng, Abubakar Adamu, Yekini Shehu, Xiaopeng Zhao

Institutions: Shanghai Normal University, African Institute of Science and Technology, Zhejiang Normal University, Tiangong University

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

Funders: Shanghai Municipal Education Commission, Shanghai Municipal Human Resources and Social Security Bureau