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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

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

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.