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Fixed-Point Technique for Implicit Complementarity Problem in Hilbert Lattice |
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| 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 |
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