This paper is devoted to state some fixed point results for multivalued mappings in modular vector spaces. For this purpose, we study the uniform noncompact convexity, a geometric property for modular spaces which is similar to nearly uniform convexity in the Banach spaces setting. Using this property, we state several new fixed point theorems for multivalued nonexpansive mappings in modular spaces.

中文翻译：

---

模空间中的非紧性度量和多值非膨胀映射的不动点定理

本文致力于陈述模向量空间中多值映射的一些不动点结果。为此，我们研究了均匀非紧凸性，这是模空间的一种几何特性，类似于 Banach 空间设置中的近均匀凸性。使用这个性质，我们为模空间中的多值非膨胀映射陈述了几个新的不动点定理。