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2008 UNIFIED FIXED POINT THEOREMS FOR COMPACT CLOSED MULTIMAPS IN GENERALIZED CONVEX SPACES
Sehie Park
Taiwanese J. Math. 12(8): 1979-1989 (2008). DOI: 10.11650/twjm/1500405130

Abstract

This is to establish a new fixed point theorem for compact closed multimaps in the better admissible class defined on subsets of generalized convex uniform spaces and having Klee approximable ranges. Our new theorem unifies a large number of previous results. Some of them are listed in the chronological order.

Citation

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Sehie Park. "UNIFIED FIXED POINT THEOREMS FOR COMPACT CLOSED MULTIMAPS IN GENERALIZED CONVEX SPACES." Taiwanese J. Math. 12 (8) 1979 - 1989, 2008. https://doi.org/10.11650/twjm/1500405130

Information

Published: 2008
First available in Project Euclid: 18 July 2017

zbMATH: 1179.47051
MathSciNet: MR2449957
Digital Object Identifier: 10.11650/twjm/1500405130

Subjects:
Primary: 47H04 , 47H10
Secondary: 46A16 , 46A55 , 52A07 , ‎54C60‎ , 54H25 , ‎55M20

Keywords: $G$-convex space , almost fixed point , Klee approximable subset , multimap (map) classes $\frak A_c^\kappa$, $\frak B$, $\frak K$, $\frak{KC}$, $\frak{KO}$

Rights: Copyright © 2008 The Mathematical Society of the Republic of China

Vol.12 • No. 8 • 2008
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