Work

Hybrid Projection Method for Common Solutions to Generalized Mixed Equilibrium Problems

Year: 2026

Type: article

Abstract: In this paper, we develop modified inertial hybrid projection methods to obtain common solutions of generalized mixed equilibrium problems involving monotone and Lipschitz continuous operators. The use of alternative half-space constructions reduces both projection steps and operator evaluations. Strong convergence is established under standard conditions. The proposed approach is further extended to common solutions of variational inequality problems, and numerical results are provided for illustration.

Source: Mathematics

DOI: 10.3390/math14173224

Authors: Ghada AlNemer, Rehan Ali, Shazia Akhtar, Mohammad Farid

Institutions: Princess Nourah bint Abdulrahman University, Central University of Kashmir, Qassim University

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: Princess Nourah Bint Abdulrahman University