Coincidence points for perturbations of linear Fredholm maps of index zero

DOI10.2977/prims/1195143420zbMath0953.55002OpenAlexW2034557223MaRDI QIDQ1567243

Donal O'Regan, Ravi P. Agarwal

Publication date: 29 January 2001

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195143420

zbMATH Keywords

Fréchet spacesmultivalued mapsessential map

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20)

Related Items (4)

Topological essentiality and fixed point theory ⋮ Strong approximation of multidimensional \(\mathbb P\)-\(\mathbb P\) plots processes by Gaussian processes with applications to statistical tests ⋮ A global bifurcation index for set-valued perturbations of Fredholm operators ⋮ Generalized Leray–Schauder principles for general classes of maps in completely regular topological spaces

Cites Work

• Fixed point theorems for multivalued noncompact acyclic mappings
• Coincidences for admissible and \(\Phi^\star\) maps and minimax inequalities
• Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
• Fixed points and random fixed points for weakly inward approximable maps
• On the topological transversality principle
• Homotopy and existence of solutions for the nonlinear equation \(Lx\in Nx\)
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