Approximation and fixed-point theorems for condensing composites of multifunctions

DOI10.1006/jmaa.1997.5910zbMath0916.47045OpenAlexW2077851710MaRDI QIDQ1269585

Tzu-Chu Lin, Sehie Park

Publication date: 21 July 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5910

zbMATH Keywords

fixed pointmultifunctionKuratowski measure of noncompactnesscondensing mappinginward set

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Set-valued operators (47H04)

Related Items

Best approximation and fixed-point theorems for discontinuous increasing maps in Banach lattices ⋮ Fixed point theorems on ordered vector spaces ⋮ The best approximation theorems and variational inequalities for discontinuous mappings in Banach spaces ⋮ The best approximation theorems and fixed point theorems for discontinuous increasing mappings in Banach spaces ⋮ Fixed point and approximation results for multimaps in S-KKM class. ⋮ Coupled best approximation theorems for discontinuous operators in partially ordered Banach spaces ⋮ Approximation and fixed point theorems for countable condensing composite maps

Cites Work

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• Some properties of convex sets related to fixed point theorems
• A theorem on the minimization of a condensing multifunction and fixed points
• Applications of the proximity map to fixed point theorems in Hilbert space
• Approximation theorems and fixed point theorems for multivalued condensing mappings in wedges
• Approximate selections, best approximations, fixed points, and invariant sets
• On the Leray-Schauder alternative
• Generalized Leray-Schauder principles for condensing admissible multifunctions
• Extensions of two fixed point theorems of F. E. Browder
• Fixed points in locally convex spaces
• The fixed point index for local condensing maps
• Fixed points for Kakutani factorizable multifunctions
• Proximity Maps for Convex Sets
• Fixed points of weakly inward multis
• On a Minimax Inequality of KY Fan
• Approximation Theorems and Fixed Point Theorem in Cones
• A Generalization to Multifunctions of Fan's Best Approximation Theorem
• Approximations and Fixed Points for Condensing Non-Self-Maps Defined on a Sphere
• A Note on a Theorem of Ky Fan
• The coincidence problem for compositions of set-valued maps
• Some Fixed Point Theorems for Composites of Acyclic Maps
• A Leray-Schauder Type Theorem for Approximable Maps
• SURFACES OF GENERAL TYPE WITH p_g= 1 AND q = 0