In this paper, the calculus of functions with values in L-spaces is developed. We then consider nonlinear integral equations of Fredholm and Volterra types for functions with values in L-spaces. Such class of equations includes set-valued integral equations, fuzzy integral equations, and many others. We prove theorems of existence and uniqueness of the solutions of such equations and investigate data dependence of their solutions.

中文翻译：

---

L空间中具有值的函数的微积分和非线性积分方程

本文研究了L空间中具有值的函数演算。然后，我们考虑L空间中具有值的函数的Fredholm和Volterra类型的非线性积分方程。这类方程包括设定值积分方程，模糊积分方程等。我们证明了这些方程解的存在性和唯一性定理，并研究了其解的数据依赖性。