标题： 柯朗和查特吉类型映射的概率锥度量空间中的不动点定理 显示英文标题

标题： Fixed Point Theorems for Kannan and Chatterjea-type Mappings in Probabilistic Cone Metric Spaces

摘要： 本文建立了概率锥度量空间中Kannan型和Chatterjea型映射的新固定点定理。通过将概率距离函数与锥值结构相结合，我们将经典的固定点结果推广到具有固有不确定性的设置中。我们的方法利用了概率度量的分布特性以及锥的序结构，以开发确保固定点存在性和唯一性的压缩条件。应用包括随机过程、随机算子以及泛函方程中的不确定性建模。这些结果显著扩展了概率分析中固定点理论及其应用的范围。 显示英文摘要

摘要： This paper establishes novel fixed point theorems for Kannan-type and Chatterjea-type mappings in probabilistic cone metric spaces. By integrating probabilistic distance functions with cone-valued structures, we generalize classical fixed point results to settings with inherent uncertainty. Our approach leverages the distributional properties of probabilistic metrics and the order structure of cones to develop contraction conditions ensuring the existence and uniqueness of fixed points. Applications include stochastic processes, random operators, and uncertainty modeling in functional equations. The results significantly extend the scope of fixed point theory in probabilistic analysis and its applications