The solvability on a new system of nonlinear variational inclusions in Hilbert spaces

Author

Li Yang ; Yong-hua Jiang ; Hong-Qin Wang ; Ling-shun Liu

Author_Institution

Inst. of Sci. & Technol., China Agric. Univ., Yantai, China

fYear

2014

fDate

8-10 Aug. 2014

Firstpage

937

Lastpage

942

Abstract

In order to study the solvability on a new system of nonlinear variational inclusions in Hilbert Spaces, the operators involving three classes of (K,η) are proposed in the paper, and a new algorithm for solutions of this system is constructed. The approximation solvability for the system of generalized nonlinear variational inclusions is discussed by using the resolvent operator technique in a Hilbert setting. For showing the existence of solutions of the system, a three-step iterative scheme with errors is adopted. Furthermore, a convergence result of the sequences generated by the algorithm is considered.

Keywords

Hilbert spaces; approximation theory; computability; iterative methods; mathematical operators; variational techniques; Hilbert spaces; convergence; nonlinear variational inclusions; resolvent operator technique; solvability; system approximation; three-step iterative scheme; Approximation algorithms; Approximation methods; Convergence; Educational institutions; Electronic mail; Hilbert space; Iterative methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Guidance, Navigation and Control Conference (CGNCC), 2014 IEEE Chinese

Conference_Location

Yantai

Print_ISBN

978-1-4799-4700-3

Type

conf

DOI

10.1109/CGNCC.2014.7007335

Filename

7007335