Simple Fixed Point Theorems on Linear Continua
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Jan Andres
andres@inf.upol.cz
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Karel Pastor
pastor@inf.upol.cz
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Pavla Snyrychov´a
snyrychp@inf.upol.cz
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Abstract
A simple fixed point theorem is formulated for multivalued maps with a connected graph on closed intervals of linear continua. These intervals either cover themselves or are concerned with self-maps. We discuss a question when the original map can possess a fixed point, provided the same assumptions are satisfied only for some of its iterate. We are particularly interested in a situation on noncompact connected linearly ordered spaces. Many illustrating examples are supplied.
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Published
2008-12-01
How to Cite
[1]
J. Andres, K. Pastor, and P. Snyrychov´a, “Simple Fixed Point Theorems on Linear Continua”, CUBO, vol. 10, no. 4, pp. 27–43, Dec. 2008.
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