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

Xing Wei | Zendy; Heng-you Lan | Zendy; Xianjun Zhang | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

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

Author(s) -

Xing Wei,

Heng-you Lan,

Xianjun Zhang

Publication year - 2009

Publication title -

journal of inequalities and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.735

H-Index - 50

eISSN - 1029-242X

pISSN - 1025-5834

DOI - 10.1155/2009/290713

Subject(s) - mathematics , banach space , monotone polygon , finite rank operator , c0 semigroup , approximation property , pseudo monotone operator , nonlinear system , operator (biology) , pure mathematics , mathematical analysis , iterative method , mathematical optimization , operator space , biochemistry , physics , geometry , chemistry , repressor , quantum mechanics , transcription factor , gene

We introduce and study a new class of nonlinear general Open image in new window -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 Open image in new window -monotone operator equations and study the approximation-solvability of the nonlinear operator equations in Banach spaces. The results presented in this paper improve and generalize the corresponding results on strongly monotone quasivariational inclusions and nonlinear implicit quasivariational inclusions.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research