A fixed point theorem for α-condensing maps on a sphere

DOI10.1017/S0308210500015687zbMath0559.47042MaRDI QIDQ5185570

Paul Massatt

Publication date: 1983

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

fixed pointKuratowski measure of noncompactness\(\alpha \) -condensing\(\alpha \) -contracting mapsBrowder nonrepulsive fixed point theorem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fixed-point theorems on manifolds (58C30)

Related Items (3)

Random fixed point theorems for nonself mappings ⋮ Positive eigenvectors of wedge maps ⋮ Approximations and Fixed Points for Condensing Non-Self-Maps Defined on a Sphere

Cites Work

• Some properties of condensing maps
• Stability and fixed points of point-dissipative systems
• Repulsive fixed points of multi-valued transformations and the fixed point index
• Contributions to the spectral theory for nonlinear operators in Banach spaces
• Continuous dependence of fixed points of condensing maps
• Asymptotic fixed-point theorems and stability
• Another generalization of the Schauder fixed point theorem
• Asymptotic fixed point theorems for local condensing maps
• The fixed point index for local condensing maps
• Degree theory for local condensing maps
• Fixed point theorems and dissipative processes
• Some fixed point theorems

This page was built for publication: A fixed point theorem for α-condensing maps on a sphere