JournalszaaVol. 22, No. 1pp. 33–42

Explicit and Implicit Complementarity Problems in a Hilbert Space

  • Antonio Carbone

    Università della Calabria, Arcavacata Di Rende, Italy
  • P. P. Zabrejko

    The Academy of Sciences of Belarus, Minsk, Belarus
Explicit and Implicit Complementarity Problems in a Hilbert Space cover
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Abstract

We present some new results about solvability of implicit complementarity problems in a Hilbert space. We discuss two approaches. One of them is based on the usual change of variables and reduces the implicit complementarity problem to the explicit one. The second approach is based on the Skrypnik degree which, in the case of mappings in a Hilbert space, is essentially more general in comparison with the classical Leray-Schauder degree. In both cases, the solvability results are formulated in terms of auxiliary complementarity problems with parameter.

Cite this article

Antonio Carbone, P. P. Zabrejko, Explicit and Implicit Complementarity Problems in a Hilbert Space. Z. Anal. Anwend. 22 (2003), no. 1, pp. 33–42

DOI 10.4171/ZAA/1130