Computation for the fixed point index and its applications

DOI10.1016/J.NA.2008.10.041zbMath1217.47100OpenAlexW1990152399MaRDI QIDQ1021713

Yumei Zou, Yujun Cui, Feng Wang

Publication date: 9 June 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.10.041

zbMATH Keywords

conefixed point indexfirst eigenvaluepositively homogeneous operator

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Degree theory for nonlinear operators (47H11) Applications of operator theory to differential and integral equations (47N20) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Ordered normed spaces (46B40)

Related Items (4)

Computation of fixed point index and applications to superlinear periodic problem ⋮ A fixed point theorem for systems of nonlinear operator equations and applications to \((p_1, p_2)\)-Laplacian system ⋮ Global structure of positive solutions for some second-order multipoint boundary value problems ⋮ Existence of nontrivial solutions for superlinear three-point boundary value problems

Cites Work

• A generalization of the cone expansion and compression fixed point theorem and applications
• Positive solutions of fourth-order boundary value problems with two parameters
• Positive solutions of \(m\)-point boundary value problems
• A generalization of the Petryshyn-Leggett-Williams fixed point theorem with applications to integral inclusions.
• Fixed Point Theorem of Cone Expansion and Compression of Functional Type
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