SEPARATION THEOREM WITH RESPECT TO SUB-TOPICAL FUNCTIONS AND ABSTRACT CONVEXITY
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Authors
M. ALIMOHAMMADY
- Department of Mathematics, University of Mazandaran, Babolsar 47416 − 1468, Iran..
A. SHAHMARI
- Islamic Azad University, Ayatollah Amoli branch, Amol, Iran.
Abstract
This paper deals with topical and sub-topical functions in a class
of ordered Banach spaces. The separation theorem for downward sets and
sub-topical functions is given. It is established some best approximation problems
by sub-topical functions and we will characterize sub-topical functions as
superimum of elementary sub-topical functions.
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ISRP Style
M. ALIMOHAMMADY, A. SHAHMARI, SEPARATION THEOREM WITH RESPECT TO SUB-TOPICAL FUNCTIONS AND ABSTRACT CONVEXITY, Journal of Nonlinear Sciences and Applications, 2 (2009), no. 2, 113-125
AMA Style
ALIMOHAMMADY M., SHAHMARI A., SEPARATION THEOREM WITH RESPECT TO SUB-TOPICAL FUNCTIONS AND ABSTRACT CONVEXITY. J. Nonlinear Sci. Appl. (2009); 2(2):113-125
Chicago/Turabian Style
ALIMOHAMMADY , M., SHAHMARI, A.. "SEPARATION THEOREM WITH RESPECT TO SUB-TOPICAL FUNCTIONS AND ABSTRACT CONVEXITY." Journal of Nonlinear Sciences and Applications, 2, no. 2 (2009): 113-125
Keywords
- Downward set
- Subdifferential set
- ordered Banach space
- topical function
- sub-topical function
- separation theorem
- abstract convex set.
MSC
References
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