On the fixed point index in locally convex spaces

DOI10.1017/S0308210500018291zbMath0641.47059MaRDI QIDQ3782296

Maria Patrizia Pera, Massimo Furi

Publication date: 1987

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

zbMATH Keywords

fixed point indexhomotopyindex theorycontinuation principleadmissible setspushing conditionLeray indexadmissible homotopyexistence of global branches of solutions to parametrised functional equationslocally compact maps

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10)

Related Items (6)

Two-point b.v.p. for multivalued equations with weakly regular r.h.s. ⋮ Semilinear differential inclusions via weak topologies ⋮ Asymptotic boundary value problems for evolution inclusions ⋮ Leray-Schauder spaces ⋮ Asymptotic boundary value problems for second-order differential systems ⋮ Asymptotic boundary value problems in Banach spaces

Cites Work

• Co-bifurcating branches of solutions for nonlinear eigenvalue problems in Banach spaces
• Global solution branches for positive mappings
• Some global results for nonlinear eigenvalue problems
• On continuity and compactness of some nonlinear operators associated with differential equations in noncompact intervals
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Topologie et équations fonctionnelles
• The Leray-Schauder index and the fixed point theory for arbitrary ANRs
• A Theory of Degree of Mapping Based on Infinitesimal Analysis

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