Generalizations of Browder's Degree Theory
نویسندگان
چکیده
The starting point of this paper is the recent important work of F. E. Browder, who extended degree theory to operators of monotone type. The degree function of Browder is generalized to maps of the form T+f+G , where T is maximal monotone, f is of class (S)+ bounded, and G{ •) is an u.s.c. compact multifunction. It is also generalized to maps of the form f+NG , with / of class (5)+ and 7VC the Nemitsky operator of a multifunction Gix, r) satisfying various types of sign conditions. Some examples are also included to illustrate the abstract results.
منابع مشابه
Applied Proof Theory - Proof Interpretations and their Use in Mathematics
Corrected version Nov.20: a confused slide on the functional interpretation of weak compactness as well as a slide stating a bound on Browder's theorem have been deleted as the latter has been superseded meanwhile: weak compactess can be bypassed resulting in a primitive recursive bound.
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