Continuation theorems for Mönch countable compactness-type set-valued maps

DOI10.1080/00036811.2019.1643014zbMath1462.54019OpenAlexW2964000579MaRDI QIDQ4987123

Donal O'Regan

Publication date: 28 April 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2019.1643014

zbMATH Keywords

coincidence pointsessential mapsnonlinear alternatives

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20)

Related Items

Fixed Point Theorem and Related Nonlinear Analysis by the Best Approximation Method in p-Vector Spaces ⋮ Nonlinear analysis in \(p\)-vector spaces for single-valued 1-set contractive mappings ⋮ Nonlinear analysis by applying best approximation method in \(p\)-vector spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized topological essentiality and coincidence points of multivalued maps
• The Lefschetz fixed point theorem for some classes of non-metrizable spaces
• Continuation methods based on essential and \(0\)-epi maps
• Fixed point theorems for set-valued maps and existence principles for integral inclusions
• Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
• A selection theorem and its applications
• Generalized coincidence theory for set-valued maps
• Coincidence theory for multivalued maps satisfying compactness conditions on countable sets
• Abstract Leray–Schauder Type Alternatives and Extensions