Journal of Applied Mathematics and Stochastic Analysis
Volume 2006 (2006), Article ID 18626, 4 pages

Complementarity problem for η-monotone-type maps

S. Pani and S. Nanda

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.


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.