Fixed-point theory for set valued mappings between topological vector spaces having sufficiently many linear functionals

DOI10.1016/S0898-1221(00)00329-1zbMath0991.47044OpenAlexW2073144348MaRDI QIDQ5948761

Ravi P. Agarwal, Donal O'Regan

Publication date: 12 November 2001

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

Full work available at URL: https://doi.org/10.1016/s0898-1221(00)00329-1

zbMATH Keywords

set-valued mapscontinuous selectionslinear functionalsMönch fixed point theoremfixed point principlesessential maphomotopicLifshitz-Sadovski fixed point principletopological linear spacesupper semicontinuous operators

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (5)

Fixed point theorems for the b^k-admissible maps of park ⋮ Unnamed Item ⋮ Some generalizations of Ky Fan’s best approximation theorem ⋮ A note on equilibria for abstract economies ⋮ Variational inequalities, coincidence theory, and minimax inequalities

Cites Work

• Weakly compact sets. Lectures held at S.U.N.Y., Buffalo, in spring 1978
• Fixed point theorems for set-valued maps and existence principles for integral inclusions
• Infinite dimensional analysis. A hitchhiker's guide
• An essential map approach for multivalued \(A\)-proper, weakly inward, DKT and weakly closed maps
• A selection theorem and its applications
• Fixed point theory of Mönch type for weakly sequentially upper semicontinuous maps
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