A generalization of Guo's theorem and applications

DOI10.1016/0022-247X(87)90063-1zbMath0632.47044MaRDI QIDQ1095386

Jingxian Sun

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Leray-Schauder degreestrict-set-contraction mapping

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (12)

Existence of two positive solutions for a class of third-order impulsive singular integro-differential equations on the half-line in Banach spaces ⋮ Some new fixed point theorems in probabilistic metric spaces ⋮ Eigenvectors of \(k-\psi \)-contractive wedge operators ⋮ On Boundary Conditions for Wedge Operators on Radial Sets ⋮ Some global generalizations of the Birkhoff-Kellogg theorem and applications ⋮ New positive fixed point and eigenvalue results for Pγ-compact maps and some applications ⋮ Positive fixed point of strict set contraction operators on ordered Banach spaces and applications ⋮ An extension of guo's theorem on domain compression and expansion ⋮ An extension of Guo's theorem via \(k\)-\(\psi\)-contractive retractions ⋮ Random approximations and random fixed point theorems for random 1-setn-contractive non-self-maps in abstract cones ⋮ Positive fixed point and eigenvalue results for weakly inward maps ⋮ Existence of two positive solutions for a class of second order impulsive singular integro-differential equations on the half line

Cites Work

• Fixed point techniques in a cone with applications
• Transversality and cone maps
• Boundary conditions for condensing mappings
• Remarks on the paper “boundary conditions for condensing mappings”
• Some Asymptotic Fixed Point Theorems
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