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- W3098249512 abstract "<p style='text-indent:20px;'>The concepts of weakly efficient solutions and globally efficient solutions are introduced for constrained set-valued equilibrium problems with variable ordering structures. By applying the second-order tangent epiderivative and a nonlinear functional, necessary optimality conditions for weakly efficient solutions and globally efficient solutions are established without any convexity assumption. Under the cone-convexity of the objective and constraint functions, sufficient optimality conditions are given. In addition, the tangent derivatives of objective and constraint functions are separated. Simultaneously, a unified necessary and sufficient optimality conditions for weakly efficient solutions is derived, and the same goes for globally efficient solutions. In particular, we give specific examples to illustrate the optimality conditions, respectively." @default.
- W3098249512 created "2020-11-23" @default.
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- W3098249512 date "2020-01-01" @default.
- W3098249512 modified "2023-09-27" @default.
- W3098249512 title "Second-Order characterizations for set-valued equilibrium problems with variable ordering structures" @default.
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- W3098249512 doi "https://doi.org/10.3934/jimo.2020164" @default.
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