[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2010.26.5.681

A SYSTEM OF VARIATIONAL INCLUSIONS IN BANACH SPACES

Liu, Zeqing (DEPARTMENT OF MATHEMATICS LIAONING NORMAL UNIVERSITY)
Zhao, Liangshi (DEPARTMENT OF MATHEMATICS LIAONING NORMAL UNIVERSITY)
Hwang, Hong-Taek (DEPARTMENT OF APPLIED MATHEMATICS KUMOH NATIONAL INSTITUTE OF TECHNOLOGY)
Kang, Shin-Min (DEPARTMENT OF MATHEMATICS AND RINS GYEONGSANG NATIONAL UNIVERSITY)

Publication Information

East Asian mathematical journal / v.26, no.5, 2010 , pp. 681-691 More about this Journal

Abstract

A system of variational inclusions with (A, ${\eta}$ , m)-accretive operators in real q-uniformly smooth Banach spaces is introduced. Using the resolvent operator technique associated with (A, ${\eta}$ , m)-accretive operators, we prove the existence and uniqueness of solutions for this system of variational inclusions and propose a Mann type iterative algorithm for approximating the unique solution for the system of variational inclusions.

Keywords

(A, ${\eta}$ , m)-accretive operators; system of variational inclusions; resolvent operator technique; Banach fixed point theorem; Mann iterative sequence;

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