System of nonlinear set-valued variational inclusions involving a finite family of \(H(\cdot, \cdot)\)-accretive operators in Banach spaces
Summary: We study a new system of nonlinear set-valued variational inclusions involving a finite family of \(H(\cdot, \cdot)\)-accretive operators in Banach spaces. By using the resolvent operator technique associated with a finite family of \(H(\cdot, \cdot)\)-accretive operators, we prove the existence of the solution for the system of nonlinear set-valued variational inclusions. Moreover, we introduce a new iterative scheme and prove a strong convergence theorem for finding solutions for this system.
nonlinear set-valued variational inclusions
finite family of \(H(\cdot, \cdot)\)-accretive operators
scientific article; zbMATH DE number 6106245
scientific article