New System of Quasi-variational-Like Inclusions Involving Monotone Operators in General Banach Spaces

Author

Renxing, Ni

Author_Institution

Dept. of Math., Shaoxing Univ., Shaoxing, China

Volume

1

fYear

2009

fDate

15-17 May 2009

Firstpage

168

Lastpage

172

Abstract

A new system of set-valued quasi-variational-like inclusions (in short, QVLI) involving H-n-monotone operators is introduced and studied in general Banach spaces without uniform smoothness. Moreover, A new iterative algorithm to find the approximation solutions of the QVLI is suggested and analyzed. It is proved that the iterative sequences generated by the algorithm converge strongly to the exact solution of the QVLI under suitable assumptions. These new results extend and improve the corresponding ones in this field.

Keywords

Banach spaces; approximation theory; inclusions; iterative methods; H-n-monotone operators; approximation solutions; general Banach spaces; iterative algorithm; iterative sequences; quasivariational-like inclusions; set-valued quasi-variational-like inclusions; Algorithm design and analysis; Approximation algorithms; Hilbert space; Information technology; Iterative algorithms; Iterative methods; Mathematical model; Mathematics; Space technology; H-n-monotone operator; iterative algorithm; new system of set-valued quasi-variational-like inclusions; resolvent operator technique;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Technology and Applications, 2009. IFITA '09. International Forum on

Conference_Location

Chengdu

Print_ISBN

978-0-7695-3600-2

Type

conf

DOI

10.1109/IFITA.2009.533

Filename

5231554