An essential map approach for multivalued \(A\)-proper, weakly inward, DKT and weakly closed maps

DOI10.1016/S0898-1221(99)00241-2zbMath1015.47035MaRDI QIDQ1972498

Donal O'Regan, Ravi P. Agarwal

Publication date: 11 April 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

fixed-point theoremsweakly lower semicontinuous\(P_1\)-compact mapsDKT mapsessential DKT mapessential map theorylower semicontinuous type mapsweakly upper semicontinuous

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Set-valued operators (47H04)

Related Items (4)

Topological essentiality and fixed point theory ⋮ Continuation methods for closed, weakly closed, DKT, and WDKT maps ⋮ Essential and inessential maps and continuation theorems ⋮ Fixed-point theory for set valued mappings between topological vector spaces having sufficiently many linear functionals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fixed point theorems for multivalued noncompact acyclic mappings
• Coincidence principles and fixed point theory for mappings in locally convex spaces
• Multivalued essential maps of approximable and acyclic type
• A selection theorem and its applications
• A generalization of Leray-Schauder theorem and surjectivity results for multivalued A-proper and pseudo A-proper mappings
• Fixed points and random fixed points for weakly inward approximable maps
• On the Functional Equations Involving Nonlinear Generalized P-Compact Operators
• A fixed point index for weakly inward A-proper maps

This page was built for publication: An essential map approach for multivalued \(A\)-proper, weakly inward, DKT and weakly closed maps