作用空间可数的模糊对策及其在广义拟变分不等式系统中的应用
Fuzzy games with a countable space of actions and applications to systems of generalized quasi-variational inequalities
摘要:
本文引入了一个具有可数行动空间的抽象模糊经济(广义模糊对策)模型,并研究了其模糊平衡点的存在性。作为应用,得到了两类结果。第一个是关于我们定义的带有随机模糊映射的广义拟变分不等式系统解的存在性。最后一个定理是关于完备可数度量空间中的值对应的新的随机不动点定理。
英文摘要:
In this paper, we introduce an abstract fuzzy economy (generalized fuzzy game) model with a countable space of actions and we study the existence of the fuzzy equilibrium. As applications, two types of results are obtained. The first ones concern the existence of the solutions for systems of generalized quasi-variational inequalities with random fuzzy mappings which we define. The last ones are new random fixed point theorems for correspondences with values in complete countable metric spaces.
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