Coincidence and fixed point theorems for functions in "Equation missing" -KKM class on generalized convex spaces

We establish a coincidence theorem in "Equation missing" -KKM class by means of the basic defining property for multifunctions in "Equation missing" -KKM. Based on this coincidence theorem, we deduce some useful corollaries and investigate the fixed point problem on uniform space...

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Veröffentlicht in:Fixed point theory and applications (Hindawi Publishing Corporation) 2006-02, Vol.2006 (1), Article 72184
Hauptverfasser: Kuo, Tian-Yuan, Huang, Young-Ye, Jeng, Jyh-Chung, Shih, Chen-Yuh
Format: Artikel
Sprache:eng
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Zusammenfassung:We establish a coincidence theorem in "Equation missing" -KKM class by means of the basic defining property for multifunctions in "Equation missing" -KKM. Based on this coincidence theorem, we deduce some useful corollaries and investigate the fixed point problem on uniform spaces.
ISSN:1687-1812
1687-1812
DOI:10.1155/FPTA/2006/72184