The main focus of this paper is to solve the Fredholm integral inclusion for L-fuzzy mapping in the setting of complete b-metric spaces. To attain this target, we obtain some common L-fuzzy fixed point results for L-fuzzy mappings under F-contraction and derive the main results of Ahmad et al. [Fuzzy fixed points of fuzzy mappings via F-contractions and an applications, J. Intelligent Fuzzy Syst. 38 (2019), pp. 1–7] and Cosentino et al. [Solvability of integrodifferential problems via fixed point theory in b-metric spaces, Fixed Point Theor. Appl. 70 (2015), pp. 1–15]. To justify the notions and outcomes, we also demonstrate an appropriate example.

本文的主要重点是解决完全b-度量空间设置中L-模糊映射的Fredholm积分包含问题。为了达到这个目标，我们获得了一些常见的L- fuzzy 不动点结果，用于F - contraction 下的L- fuzzy 映射，并推导出 Ahmad等人的主要结果。[通过 F 收缩和应用程序的模糊映射的模糊固定点，J.智能模糊系统。38 (2019), pp. 1–7] 和 Cosentino等人。[在b-度量空间中通过不动点理论的积分微分问题的可解性, 不动点理论。应用程序 70 (2015)，第 1-15 页]。为了证明这些概念和结果，我们还展示了一个适当的例子。