Fixed Points of Subadditive Maps with an Application to a System of Volterra–Fredholm Type Integrodifferential Equations

摘要

In this paper, some fixed-point theorems are established for strongly subadditive maps on CΩ,? (where CΩ,? denotes the space of ?-valued continuous functions on a compact Hausdorff space Ω and ? is a unital Banach algebra). Finally, the result is applied to prove the existence and uniqueness of a solution for a system of nonlinear integrodifferential equations.