Constructive solutions for nonlinear multiparameter eigenvalue problems

Based on the three well-known Banach, Mann, and Ishikawa iteration processes, constructive solutions to a general nonlinear nonhomogenious two-parameter eigenvalue problem of the form Ax + λBx + μCx = f are established. The allowed range of the complex parameters λ and μ is discussed. Error estimates are studied. The obtained results are natural extensions, to the two-parameter case, of the corresponding one-parameter problem discussed in the authorʹs paper [1].