International Journal of Mathematics and Mathematical Sciences
Volume 10 (1987), Issue 1, Pages 69-78
doi:10.1155/S0161171287000097

On polynomial equations in Banach space, perturbation techniques and applications

Abstract

We use perturbation techniques to solve the polynomial equation in Banach space. Our techniques provide more accurate information on the location of solutions and yield existence and uniqueness in cases not covered before. An example is given to justify our method.