IJPAM: Volume 70, No. 6 (2011)

AN ISHIKAWA TYPE PERTURBED ITERATIVE ALGORITHM
FOR A SYSTEM OF VARIATIONAL INCLUSIONS
WITH $(H, \eta)$-MONOTONE OPERATORS

Jie Shen$^1$, Li-Ping Pang$^2$
$^1$School of Mathematics
Liaoning Normal University
Dalian 116029, P.R. CHINA
$^2$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 $(H, \eta)$-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, $(H, \eta)$-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