Perturbed iterative approximation of solutions for nonlinear general \(A\)-monotone operator equations in Banach spaces. (English) Zbl 1182.47053
The authors employ Alber’s inequalities, Nadler’s results as well as the proximal mapping technique to construct some new perturbed iterative algorithms with mixed errors for solving nonlinear general A-monotone operator equations and study the approximation solvability of nonlinear operator equations in Banach spaces. Their results improve and generalize the corresponding results on strongly monotone quasivariational inclusions and nonlinear implicit quasivariational inclusions.
Reviewer: M. O. Olatinwo (Ile-Ife)
MSC:
| 47J25 | Iterative procedures involving nonlinear operators |
References:
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