TY - JOUR
T1 - On Nonconvex Pseudomonotone Equilibrium Problems with Applications
AU - Lara, F.
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Nature B.V.
PY - 2022/6
Y1 - 2022/6
N2 - In this paper, we provide a further study for nonconvex pseudomonotone equilibrium problems and nonconvex mixed variational inequalities by using global directional derivatives. We provide finer necessary and sufficient optimality conditions for both problems in the pseudomonotone case and, as a consequence, a characterization for a point to be a solution for nonconvex equilibrium problems is given. Finally, we apply the golden ratio algorithm for a class of nonconvex functions in equilibrium problems and mixed variational inequalities.
AB - In this paper, we provide a further study for nonconvex pseudomonotone equilibrium problems and nonconvex mixed variational inequalities by using global directional derivatives. We provide finer necessary and sufficient optimality conditions for both problems in the pseudomonotone case and, as a consequence, a characterization for a point to be a solution for nonconvex equilibrium problems is given. Finally, we apply the golden ratio algorithm for a class of nonconvex functions in equilibrium problems and mixed variational inequalities.
KW - Equilibrium problems
KW - Golden ratio algorithms
KW - Nonconvex optimization
KW - Nonsmooth analysis
KW - Variational inequalities
UR - https://www.scopus.com/pages/publications/85105496110
U2 - 10.1007/s11228-021-00586-0
DO - 10.1007/s11228-021-00586-0
M3 - Article
AN - SCOPUS:85105496110
SN - 1877-0533
VL - 30
SP - 355
EP - 372
JO - Set-Valued and Variational Analysis
JF - Set-Valued and Variational Analysis
IS - 2
ER -