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Fixed-Point Technique for Implicit Complementarity Problem in Hilbert Lattice
Authors:Ahmad  K.  Kazmi  K. R.  Rehman  N.
Affiliation:(1) Department of Mathematics, Faculty of Natural Sciences, Jamia Millia Islamia, New Delhi, India;(2) Department of Mathematics, Faculty of Natural Sciences, Jamia Millia Islamia, New Delhi, India;(3) Department of Mathematics, Faculty of Natural Sciences, Jamia Millia Islamia, New Delhi, India
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    /content/hpt6310787p2u332/xxlarge966.gif"   alt="  phgr"   align="  MIDDLE"   BORDER="  0"  >-Lipschitz continuous mapping    /content/hpt6310787p2u332/xxlarge968.gif"   alt="  psgr"   align="  MIDDLE"   BORDER="  0"  >-strongly monotone mapping
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