Stable Perturbed Iterative Algorithms for Solving New General Systems of Nonlinear Generalized Variational Inclusion in Banach Spaces | Zendy

Ting-jian Xiong | Zendy; Heng-you Lan | Zendy

Open Access

Stable Perturbed Iterative Algorithms for Solving New General Systems of Nonlinear Generalized Variational Inclusion in Banach Spaces

Author(s) -

Ting-jian Xiong,

Heng-you Lan

Publication year - 2014

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2014/659870

Subject(s) - banach space , mathematics , convergence (economics) , nonlinear system , algorithm , iterative method , resolvent , hilbert space , pure mathematics , physics , quantum mechanics , economics , economic growth

We introduce and study a new general system of nonlinear variational inclusions involving generalized m-accretive mappings in Banach space. By using the resolvent operator technique associated with generalized m-accretive mappings due to Huang and Fang, we prove the existence theorem of the solution for this variational inclusion system in uniformly smooth Banach space, and discuss convergence and stability of a class of new perturbed iterative algorithms for solving the inclusion system in Banach spaces. Our results presented in this paper may be viewed as an refinement and improvement of the previously known results

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