# zbMATH — the first resource for mathematics

Iteration processes for nonlinear Lipschitzian strongly accretive mappings in $$L_ p$$ spaces. (English) Zbl 0828.47042
Let $$T : L_p \to L_p$$ $$(1 < p \leq 2)$$ be a strongly accretive (with constant $$k$$) and Lipschitz (with constant $$L$$) map, and let $$p(p - 1)$$ $$L^2 < p - 2 (p - 1) (1-k)$$. The author gives a (quite technical) definition of a sequence $$(x_n)_n$$ converging to the solution of $$Tx = f$$, $$f \in L_p$$.

##### MSC:
 47H06 Nonlinear accretive operators, dissipative operators, etc.
##### Keywords:
strongly accretive; Lipschitz
Full Text: