A generalized degree of multivalued mappings and its applications to nonlinear problems.

*(English)*Zbl 0905.47051The principle of a compact restriction in generalized degree theory was formulated in Y. G. Borisovich and Y. I. Sapronov [Trudy Sem. funkcional. Analizu 12, Voronezh, 43-68 (1969; Zbl 0266.47047)]. In this paper are studied some different problems of global analysis as a development. Applications to boundary and optimization problems are given.

Reviewer: J.M.Ayerbe (Sevilla)

##### MSC:

47H11 | Degree theory for nonlinear operators |

47H04 | Set-valued operators |

47J05 | Equations involving nonlinear operators (general) |

##### Keywords:

nonlinear operator inclusions; nonlinear Fredholm operators; multivalued maps; compact restriction; generalized degree theory; boundary and optimization problems
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\textit{Y. G. Borisovich}, Nonlinear Anal., Theory Methods Appl. 30, No. 1, 101--109 (1997; Zbl 0905.47051)

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##### References:

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