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Fixed point theorems for the class S-KKM mappings in abstract convex spaces

✍ Scribed by A. Amini; M. Fakhar; J. Zafarani

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
172 KB
Volume
66
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Fixed-point theorems for S-KKM maps
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✍ R.P. Agarwal; D. O'regan πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 556 KB

A number of new fixed-point results are presented for S-KKM self maps. Also the notion of essentiality for S-KKM maps is introduced.

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In this work, Cantor's intersection theorem is extended to cone metric spaces and as an application, a fixed point theorem is derived for mappings with locally power diminishing diameters.