New fixed point theorems for P 1-compact mappings in Banach spaces

DOI10.1007/s10496-007-0274-7zbMath1150.47041OpenAlexW2110396584MaRDI QIDQ3501561

Shaoyuan Xu

Publication date: 3 June 2008

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

Full work available at URL: https://doi.org/10.1007/s10496-007-0274-7

zbMATH Keywords

topological degreefixed point theoremcompletely continuous operator\(A\)-proper mapping\(P_1\)-compact mapping

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Degree theory for nonlinear operators (47H11)

Cites Work

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• Bifurcation and asymptotic bifurcation for equations involving A-proper mappings with applications to differential equations
• On nonlinear P-compact operators in Banach space with applications to constructive fixed-point theorems
• Approximation methods and the generalized topological degree for nonlinear mappings in Banach spaces
• On the approximation-solvability of equations involving 𝐴-proper and pseudo-𝐴-proper mappings
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• On a fixed point theorem for nonlinear $P$-compact operators in Banach space

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