A degree theory for semicondensing vectorfields in infinite dimensional Banach spaces and applications

DOI10.1016/0362-546X(80)90062-0zbMath0433.47024MaRDI QIDQ3871447

Rainald Schöneberg

Publication date: 1980

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

degree theoryVolterra integral equationsfunctional-integral equationssurjectivity theoremssemicondensing vectorfields

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Integro-ordinary differential equations (45J05) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Degree, winding number (55M25)

Related Items (5)

On a special class of nonlinear integral equations ⋮ On zeros of semicondensing maps ⋮ Nonlinear volterra integral equations of the first kind ⋮ A note about essentiality and inessentiality of compact fields ⋮ Coincidence principles and fixed point theory for mappings in locally convex spaces

Cites Work

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• Existence of solutions for ordinary differential equations in Banach spaces
• Some results on pseudo-contractive mappings
• Fixed point theorems for contraction mappings with applications to nonexpansive and pseudo-contractive mappings
• Zeros of accretive operators
• Structure of the fixed points sets of k-set-contractions
• The fixed point index for local condensing maps
• Degree theory for local condensing maps
• Nonlinear accretive operators in Banach spaces
• The topological degree for noncompact nonlinear mappings in Banach spaces
• Semicontractive and semiaccretive nonlinear mappings in Banach spaces
• The fixed point index and asymptotic fixed point theorems for $k$-set-contractions
• Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces
• Fixed Point Theorems for Lipschitzian Pseudo-Contractive Mappings

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