Perturbed Iterative Approximation of Solutions for Nonlinear General -Monotone Operator Equations in Banach Spaces

Xing Wei, Heng-you Lan, Xian-jun Zhang
2009 Journal of Inequalities and Applications  
We introduce and study a new class of nonlinear general A-monotone operator equations with multivalued operator. By using Alber's inequalities, Nalder's results, and the new proximal mapping technique, we construct some new perturbed iterative algorithms with mixed errors for solving the nonlinear general A-monotone operator equations and study the approximationsolvability of the nonlinear operator equations in Banach spaces. The results presented in this paper improve and generalize the
more » ... onding results on strongly monotone quasivariational inclusions and nonlinear implicit quasivariational inclusions.
doi:10.1155/2009/290713 fatcat:3v5surpnzjb4bou22fgdyztosa