Journal of Applied Mathematics and Stochastic Analysis
Volume 2006 (2006), Article ID 18626, 4 pages
doi:10.1155/JAMSA/2006/18626
Complementarity problem for η-monotone-type maps
Department of Mathematics, Indian Institute of Technology, Kharagpur, West Bengal 721302, India
Received 3 August 2004; Revised 23 May 2005; Accepted 27 May 2005
Copyright © 2006 S. Pani and S. Nanda. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The purpose of this paper is to establish certain
existence theorems for complementarity problem in Banach space.
Complementarity problem is defined for η-monotone operators
and some results have been established. The result for
complementarity problem was known for monotone operators.