Positive eigenvectors of k-set contractions

DOI10.1016/0362-546X(79)90031-2zbMath0422.47030OpenAlexW2027042846MaRDI QIDQ3855735

Ivar Massabò, Charles A. Stuart

Publication date: 1979

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(79)90031-2

zbMATH Keywords

essential spectrumelliptic equationk-set contractionpositive eigenvectorcomponent of solutions

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Nonlinear boundary value problems for linear elliptic equations (35J65) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (11)

Fixed point theorems for semidifferentiable k-set-contractions in ordered Banach spaces ⋮ Positive eigenvalues of countably contractive maps ⋮ Some eigenvalue results for maximal monotone operators ⋮ Condensing operators ⋮ New results in the perturbation theory of maximal monotone and $M$-accretive operators in Banach spaces ⋮ An extension of guo's theorem on domain compression and expansion ⋮ Positive fixed point and eigenvalue results for weakly inward maps ⋮ Positive eigenvectors of wedge maps ⋮ Quasinormal cones in Banach spaces ⋮ On the solvability of x∈Tx+λFx in quasinormal cones with T and F k-set-contractive ⋮ Determination of the cone radius for positive concave operators

Cites Work

• On nonlinear positive operators
• On the spectral theory of elliptic differential operators. I
• Positive eigenvalues for nonlinear multivalued noncompact operators with applications to differential operators
• Global solution branches for positive mappings
• Some global results for nonlinear eigenvalue problems
• On the number of solutions of nonlinear equations in ordered Banach spaces
• On positive solutions of nonlinear elliptic eigenvalue problems
• Some Bifurcation Theory for k -Set Contractions
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Non-compact positive operators
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