International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 2, Pages 241-246
Perturbations of normally solvable nonlinear operators, I
Department of Mathematics, The University of Oklahoma, Norman 73019, OK, USA
Received 16 January 1984
Copyright © 1985 William O. Ray and Anita M. Walker. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Let and be Banach spaces and let and be Gateaux differentiable mappings from to In this note we study when the operator is surjective for sufficiently small perturbations of a surjective operator The methods extend previous results in the area of normal solvability for nonlinear operators.