Weak set-equilibrium problems: existence and stability conditions
Marius Durea, Elena-Andreea Florea · Optimization · 2024
We formulate four types of set-equilibrium problems based on some well-known set-order relations. Then, we study the existence of solutions for these problems by imposing standard generalized convexity and Lipschitz conditions. A comparison with some widely studied vector equilibrium problems is performed. Finally, we are interested in an issue concerning the stability of solutions of some related approximate set-optimization problems.