Fredholm alternative for nonlinear k-ball-contractive mappings with applications

DOI10.1016/0022-0396(75)90036-4zbMath0292.47057OpenAlexW2037345097MaRDI QIDQ1211713

W. V. Petryshyn

Publication date: 1975

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(75)90036-4

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05)

Related Items (11)

Multiple positive fixed points of multivalued condensing mappings with some applications ⋮ Existence of nonzero fixed points for noncompact mappings in wedges and cones ⋮ Fredholm theory for abstract and differential equations with noncompact nonlinear perturbations of Fredholm maps ⋮ On the approximation-solvability of equations involving 𝐴-proper and pseudo-𝐴-proper mappings ⋮ Condensing operators ⋮ Unnamed Item ⋮ Fredholm alternatives for nonlinear A-proper mappings with applications to nonlinear elliptic boundary value problems ⋮ Eine Existenzaussage für asymptotisch lineare Störungen eines Fredholmoperators mit Index 0 ⋮ Some remarks on a theorem of Kachurovskii ⋮ Some generalizations of the first Fredholm theorem to multivalued A- proper mappings with applications to nonlinear elliptic equations ⋮ Bifurcation and asymptotic bifurcation for equations involving A-proper mappings with applications to differential equations

Cites Work

• On nonlinear mappings of monotone type homotopic to odd operators
• A bifurcation theorem for k-set contractions
• Zur Existenztheorie für ein nichtlineares Randwertproblem der Potentialtheorie bei beliebigem komplexem Parameter
• Punti uniti in trasformazioni a codominio non compatto
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Fixed Point Theorems for Various Classes of 1-Set-Contractive and 1-Ball- Contractive Mappings in Banach Space
• The fixed point index and asymptotic fixed point theorems for $k$-set-contractions
• The radius of the essential spectrum
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