Fixed point theorems for semidifferentiable k-set-contractions in ordered Banach spaces

DOI10.1016/0022-247X(88)90402-7zbMath0654.47037MaRDI QIDQ1108569

W. V. Petryshyn

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

fixed point index for condensing mapsfixed point theorems for semidifferentiable nonlinear operators

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (2)

Quasidifferentiability and positive solutions of equations for set-valued mappings ⋮ Existence of positive fixed points for semidifferentiable semicompact 1- set contractions

Cites Work

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• Existence of nonzero fixed points for noncompact mappings in wedges and cones
• The fixed point index for local condensing maps
• Fixed points of asymptotically linear maps in ordered Banach spaces
• Positive eigenvectors of k-set contractions
• Fixed Point Theorems and the Fixed Point Index for Multivalued Mappings in Cones
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Non-compact positive operators
• Estimates for the number of solutions of operator equations

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