IJPAM: Volume 70, No. 6 (2011)
AN ISHIKAWA TYPE PERTURBED ITERATIVE ALGORITHM
FOR A SYSTEM OF VARIATIONAL INCLUSIONS
WITH -MONOTONE OPERATORS
FOR A SYSTEM OF VARIATIONAL INCLUSIONS
WITH -MONOTONE OPERATORS
Jie Shen, Li-Ping Pang
School of Mathematics
Liaoning Normal University
Dalian 116029, P.R. CHINA
Department of Applied Mathematics
Dalian University of Technology
Dalian, 116024, P.R. CHINA
School of Mathematics
Liaoning Normal University
Dalian 116029, P.R. CHINA
Department of Applied Mathematics
Dalian University of Technology
Dalian, 116024, P.R. CHINA
Abstract. In this paper, we propose an Ishikawa type
perturbed iterative algorithm for solving a system of variational
inclusions with -monotone operators in Hilbert spaces.
We also prove the existence, uniqueness of the solution to the considered system and discuss the
convergence of the proposed algorithm.
Received: March 11, 2011
AMS Subject Classification: 47J20, 49J40, 90C30
Key Words and Phrases: system of variational inclusions, -monotone operator, resolvent operator technique, Ishikawa iterative algorithm, fixed point
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 70
Issue: 6