New criteria for existence of solutions for equilibrium problems
نویسندگان
چکیده
Abstract Equilibrium problems provide a mathematical framework which includes optimization, variational inequalities, fixed point and saddle problems, noncooperative games as particular cases. In this paper sufficient conditions for the existence of solutions an equilibrium problem are given by weakening assumption quasiconvexity involved bifunction. The is established both in presence compactness feasible set well with coercivity assumption. results obtained infinite dimensional setting, they based on so called finite solvability property weaker than recently introduced intersection turn, most common cyclic proper quasimonotonicity. Some examples presented to illustrate various cases other do not apply. Finally, applications solution quasiequilibrium quasioptimization generalized quasivariational inequalities discussed.
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ژورنال
عنوان ژورنال: Computational Management Science
سال: 2023
ISSN: ['1619-6988', '1619-697X']
DOI: https://doi.org/10.1007/s10287-023-00433-7