Almost fixed points of multimaps having totally bounded ranges

DOI10.1016/S0362-546X(01)00789-1zbMath1005.47054OpenAlexW2068903888MaRDI QIDQ697514

Sehie Park

Publication date: 17 September 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(01)00789-1

zbMATH Keywords

multimapKKM principleKakutani mapalmost fixed pointbetter admissible multimapsconvexly totally boundedtotally bounded rangesZima type

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (5)

Fixed point theorems for the class S-KKM mappings in abstract convex spaces ⋮ On convex total bounded sets in the space of measurable functions ⋮ Recent results in analytical fixed point theory ⋮ Dynamic properties of a nonlinear viscoelastic Kirchhoff-type equation with acoustic control boundary conditions. I ⋮ On topological groups with an approximate fixed point property

Cites Work

• Almost fixed points
• KKM property and fixed point theorems
• Fixed points for Kakutani factorizable multifunctions
• Almost Fixed Point Theorems
• Compact convex sets in non-locally-convex linear spaces
• Some Fixed Point Theorems for Composites of Acyclic Maps
• SURFACES OF GENERAL TYPE WITH p_g= 1 AND q = 0
• Coincidence theorems for the better admissible multimaps and their applications
• Fixed points of compact multifunctions
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