Degree theory for multivalued (S) type mappings and fixed point theorems
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Publication:1191570
DOI10.1007/BF02016374zbMath0895.47044MaRDI QIDQ1191570
Publication date: 27 September 1992
Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)
reflexive Banach spacedegree functionmonotone operatorsfixed-point theoremsmultivalued \((S)\)- and \((S)^+\)-mappings
Fixed-point theorems (47H10) Degree theory for nonlinear operators (47H11) Fixed-point theorems on manifolds (58C30) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)
Related Items (15)
On the normalized eigenvalue problems for nonlinear elliptic operators. II ⋮ A degree theory for compact perturbations of monotone type operators and application to nonlinear parabolic problem ⋮ A Browder degree theory from the Nagumo degree on the Hilbert space of elliptic super-regularization ⋮ A new topological degree theory for pseudomonotone perturbations of the sum of two maximal monotone operators and applications ⋮ Existence of periodic solutions for first-order evolution equations without coercivity. ⋮ Degree theory for \((S_+)\) mappings in non-reflexive Banach spaces ⋮ Unnamed Item ⋮ New results in the theory of multivalued mappings. II: Analysis and applications ⋮ Monotone type operators in nonreflexive Banach spaces ⋮ On the existence of periodic solutions for nonlinear evolutions in Hilbert spaces ⋮ On the homotopy property of topological degree for maximal monotone mappings ⋮ Coincidence degree theory for mappings of classL − (S+) ⋮ Degree theory for monotone type mappings in non-reflexive Banach spaces ⋮ A note on the degree for maximal monotone mappings in finite dimensional spaces ⋮ On the degree theory for multivalued \((S+)\) type mappings
Cites Work
- Unnamed Item
- Approximation methods and the generalized topological degree for nonlinear mappings in Banach spaces
- Semi-groups of nonlinear contractions and dissipative sets
- Degree of mapping for nonlinear mappings of monotone type: Strongly nonlinear mapping
- Degree of mapping for nonlinear mappings of monotone type
- Degree of mapping for nonlinear mappings of monotone type: Densely defined mapping
- On the topological degree for mappings of monotone type
- Topology and semilinear equations at resonance in hilbert space
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