The existence of solutions for stochastic equilibrium problems
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Abstract
The purpose of this paper is to study the existence of solutions for stochastic equilibrium problems. A new existence result is established based on using notion of random cyclic quasimonotonicity, without convexity assumptions. Some examples are also provided to show the advantages of the result.
Tóm tắt
Bài báo này nghiên cứu sự tồn tại nghiệm cho bài toán cân bằng ngẫu nhiên. Một kết quả tồn tại mới được thiết lập trên cơ sở dùng khái niệm về tính tựa đơn điệu vòng quanh ngẫu nhiên, không dùng các giả thiết về tính lồi. Vài ví dụ được cung cấp nhằm chỉ ra sự thuận lợi của kết quả.
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References
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