IJPAM: Volume 84, No. 3 (2013)
A NONLINEAR VARIATIONAL INEQUALITY
INVOLVING H-MONOTONE OPERATORS
INVOLVING H-MONOTONE OPERATORS
Lijun He1, Chahn Yong Jung2, Shin Min Kang3
1Department of Physics and Mathematics
Kunming Medical College
Kunming, Yunnan, 650031, P.R. CHINA
2Department of Business Administration
Gyeongsang National University
Jinju, 660-701, KOREA
3Department of Mathematics and RINS
Gyeongsang National University
Jinju, 660-701, KOREA
1Department of Physics and Mathematics
Kunming Medical College
Kunming, Yunnan, 650031, P.R. CHINA
2Department of Business Administration
Gyeongsang National University
Jinju, 660-701, KOREA
3Department of Mathematics and RINS
Gyeongsang National University
Jinju, 660-701, KOREA
Abstract. The aim of this paper is to study the existence of solutions and convergence of the perturbed three-step iterative algorithm for a nonlinear variational inequality involving H-monotone and strongly monotone operators.
Received: January 31, 2013
AMS Subject Classification: 47J20, 49J40
Key Words and Phrases: nonlinear variational inequality, H-monotone operator, strongly monotone operator, resolvent operator technique, perturbed three-step iterative algorithm
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DOI: 10.12732/ijpam.v84i3.10 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 84
Issue: 3
