Leray-Schauder theorem for P-compact operators and its consequences

DOI10.1016/0022-247X(68)90073-5zbMath0167.44701MaRDI QIDQ2530893

T. S. Tucker

Publication date: 1968

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

zbMATH Keywords

functional analysis

Related Items

On the approximation-solvability of equations involving 𝐴-proper and pseudo-𝐴-proper mappings, A generalization of Leray-Schauder theorem and surjectivity results for multivalued A-proper and pseudo A-proper mappings, Continuation theorems and the approximation-solvability of equations involving multivalued A-proper mappings, Invariance of domain theorem for locally A-proper mappings and its implications, Antipodes theorem for A-proper mappings and its applications to mappings of the modified type (S) or (S)+ and to mapping with the pm property

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Monotone (nonlinear) operators in Hilbert space
• Quasi-compact non-linear operators in Banach space and applications
• On nonlinear P-compact operators in Banach space with applications to constructive fixed-point theorems
• Further remarks on nonlinear P-compact operators in Banach space
• Fixed-point theorems for nonlinear operators and Galerkin approximations
• The solvability of non-linear functional equations
• Nonlinear elliptic boundary value problems
• On a fixed point theorem for nonlinear $P$-compact operators in Banach space
• On the Functional Equations Involving Nonlinear Generalized P-Compact Operators