Degree theory for multivalued (S) type mappings and fixed point theorems. (English) Zbl 0895.47044
The authors develop a degree theory for limits of multivalued \((S)\)- and \((S)^+\)-mappings in a reflexive Banach space. It is verified that the degree function enjoys the usual properties, and there are some applications to monotone operators and fixed-point theorems.
Reviewer: Chr.Fenske (MR 91h:47065)
MSC:
| 47H11 | Degree theory for nonlinear operators |
| 47H10 | Fixed-point theorems |
| 47H07 | Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces |
| 58C30 | Fixed-point theorems on manifolds |
Keywords:
multivalued \((S)\)- and \((S)^+\)-mappings; reflexive Banach space; degree function; monotone operators; fixed-point theoremsReferences:
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