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On characterizations of fixed points

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2001Publisher:WileyJournal:International Journal of Mathematics and Mathematical Sciences, volume 27, pages 391-397 (issn: 0161-1712, eissn: 1687-0425,

Authors: Zeqing Liu; Shin Min Kang; Lili Zhang;

doi: 10.1155/s0161171201007037

On characterizations of fixed points

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Abstract

We give some necessary and sufficient conditions for the existence of fixed points of a family of self mappings of a metric space and we establish an equivalent condition for the existence of fixed points of a continuous compact mapping of a metric space.

Related Organizations

Gyeongsang National University
Korea (Republic of)
Liaoning Normal University
China (People's Republic of)

Keywords

compact mapping, Fixed-point and coincidence theorems (topological aspects), metric space, QA1-939, common fixed point, Mathematics

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