Coincidence principles and fixed point theory for mappings in locally convex spaces

DOI10.1216/rmjm/1181071724zbMath0930.47025OpenAlexW2054937059MaRDI QIDQ1293541

Donal O'Regan

Publication date: 3 December 1999

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL28-4/CONT28-4/CONT28-4.html

zbMATH Keywords

fixed pointmeasure of noncompactnesscoincidence pointcondensing map\(m\)-accretive map

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Nonlinear evolution equations (47J35)

Related Items

A note on the existence of multiple fixed points for multivalued maps with applications ⋮ An essential map approach for multivalued \(A\)-proper, weakly inward, DKT and weakly closed maps ⋮ Fixed-point and random fixed-point theorems in cones of Banach spaces ⋮ Homotopy and existence of solutions for the nonlinear equation \(Lx\in Nx\) ⋮ Existence and approximation of fixed points for multivalued maps

Cites Work

• Ordinary differential equations in Banach spaces
• Some results on pseudo-contractive mappings
• Some general existence principles in the Carathéodory theory of nonlinear differential systems
• Fixed point theorems for contraction mappings with applications to nonexpansive and pseudo-contractive mappings
• Perturbation of linear abstract Volterra equations
• A fixed point theorem for condensing operators and applications to Hammerstein integral equations in Banach spaces
• Fixpunktsätze vom Krasnoselski-Typ
• Structure of the fixed points sets of k-set-contractions
• A continuation method on locally convex spaces and applications to ordinary differential equations on noncompact intervals
• A degree theory for semicondensing vectorfields in infinite dimensional Banach spaces and applications
• Some fixed point theorems for concentrative mappings between locally convex linear topological spaces
• Semicontractive and semiaccretive nonlinear mappings in Banach spaces
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