Fixed-Point Technique for Implicit Complementarity Problem in Hilbert Lattice

K. Ahmad, K. R. Kazmi and N. Rehman
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K. Ahmad: Jamia Millia Islamia
K. R. Kazmi: Jamia Millia Islamia
N. Rehman: Jamia Millia Islamia

Journal of Optimization Theory and Applications, 1997, vol. 93, issue 1, No 4, 67-72

Abstract: Abstract In this paper, we consider and study the implicit complementarity problem in the setting of a Hilbert lattice. It has been shown that this problem can be formulated as a fixed-point problem by using a suitable change of variables. Moreover, this formulation allows us to prove the existence and uniqueness of solutions of the implicit complementarity problem.

Keywords: Implicit complementarity problem; change of variables; fixed-point problem; φ-Lipschitz continuous mapping; ψ-strongly monotone mapping (search for similar items in EconPapers)
Date: 1997
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Citations: View citations in EconPapers (1)

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DOI: 10.1023/A:1022645716916

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