抽象凸空间中的变分关系

Sehie Park
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引用次数: 0

摘要

Luc[1]开创了变分关系的研究,这是对平衡理论和变分包含的各种模型的统一方法。在此基础上,建立了变分关系解存在的简单条件,并将其应用于若干变分问题。本文通过反映抽象凸空间上KKM理论的最新进展,推广了[1]中的某些结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Variational Relations in Abstract Convex Spaces
Luc [1] initiated the study of variational relations, which is a unifying approach to various models of equilibrium theory and variational inclusions. There, a simple condition was established for the existence of solutions of variational relations and was applied to a number of variational problems. In the present article, certain results in [1] are generalized by reflecting recent development of the KKM theory on abstract convex spaces.
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