Existence Theorems of Solutions for a System of Nonlinear Inclusions with an Application
Keqing Wu, Nan‐jing Huang, Jen‐Chih Yao · Journal of Inequalities and Applications · 2007
By using the iterative technique and Nadler's theorem, we construct a new iterative algorithm for solving a system of nonlinear inclusions in Banach spaces. We prove some new existence results of solutions for the system of nonlinear inclusions and discuss the convergence of the sequences generated by the algorithm. As an application, we show the existence of solution for a system of functional equations arising in dynamic programming of multistage decision processes.