Remarks on Fixed Point Approaches to Insurance and Finance

Abstract

Fixed point theory has been applied to various practical problems of insurance and finance during several decades. In our earlier paper (Voutilainen, 2022) we have presented problem classes tackled in the literature by fixed point methods. In Voutilainen (2023) we study fixed point problem solution methods with the help of solutions of equilibrium problems in several classes. For this paper we have gathered and commented on some specific fixed point applications to the insurance and finance areas. Many of them also adopt other interesting theoretical areas. It turns out that fixed point theory really has a number of important applications both to insurance and finance and to theoretical mathematics.