The best approximation and coincidence theorems for composites of acyclic mappings

DOI10.1007/BF02463744zbMath0933.54032OpenAlexW1965488527MaRDI QIDQ1818158

Xie Ping Ding

Publication date: 4 April 2000

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02463744

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Fixed points and coincidences in algebraic topology (55M20)

Cites Work

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• Extensions of two fixed point theorems of F. E. Browder
• Fixed points in locally convex spaces
• Fixed points for Kakutani factorizable multifunctions
• Coincidence theorems, minimax theorems, and variational inequalities
• Coincidence Theorem and Saddle Point Theorem
• A Set-Valued Generalization of Fan's Best Approximation Theorem
• On a sharpened form of the Schauder fixed-point theorem
• The coincidence problem for compositions of set-valued maps
• Some Fixed Point Theorems for Composites of Acyclic Maps
• Some coincidence theorems and applications
• A Remark on Coincidence Theorems

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