Levitin–Polyak well-posedness of split quasi-equilibrium problems

Key Points

• Findings demonstrate that split quasi-equilibrium problems exhibit Levitan-Polyak well-posedness, ensuring the existence and stability of solutions.
• The analysis uses fixed-point theorems to establish conditions under which convergence can be guaranteed in problem-solving processes.
• Observational analysis of iterative methods reveals high efficacy in achieving well-posedness for complex quasi-equilibrium scenarios.
• This approach may enable advancements in optimization fields, improving mathematical modeling of equilibrium systems.