Lili Zhang, Yujue Hao, Zeqing Liu, Shin Min Kang
Department of Applied Mathematics
Dalian University of Technology
Dalian, Liaoning, 116024, P.R. CHINA
Basic Courses Teaching Department
Dalian Neusoft Institute of Information
Dalian, Liaoning, 116023, P.R. CHINA
e-mail: zhanglili@neusoft.edu.cn
Department of Mechanics
Tianjin University
Tianjin, 300072, P.R. CHINA
e-mail: haoyujue@yahoo.com.cn
Department of Mathematics
Liaoning Normal University
P.O. Box 200, Dalian, Liaoning, 116029, P.R. CHINA
e-mail: zeqingliu@dl.cn
Department of Mathematics
Research Institute of Natural Science
Gyeongsang National University
Chinju, 660-701, KOREA
e-mail: smkang@nongae.gsnu.ac.kr

Abstract.In this paper we introduce a new class of system of generalized nonlinear variational-like inclusions in Hilbert spaces. By using fixed point method and resolvent operator technique, we suggest iterative algorithms for solving this class of system of generalized nonlinear variational-like inclusions. The results presented in this paper improve and unify many known results in the literature.

Received: June 20, 2006

AMS Subject Classification: 47J20, 49J40

Key Words and Phrases: system of generalized nonlinear variational-like inclusions, relaxed cocoercivity, algorithm, convergence, fixed point

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 30
Issue: 3