By means of the contraction principle we prove existence, uniqueness and stability of solutions for nonlinear equations in a Banach space , where satisfy Lipschitz conditions in scales of norms, is a bilinear operator and is a data parameter. The theory is applicable for inverse problems of memory identification and generalized convolution equations of the second kind.
Cite this article
Jaan Janno, Nonlinear Equations with Operators Satisfying Generalized Lipschitz Conditions in Scales. Z. Anal. Anwend. 18 (1999), no. 2, pp. 287–295DOI 10.4171/ZAA/882