Geodesic
SEPARATION THEOREM WITH RESPECT TO SUB-TOPICAL FUNCTIONS AND ABSTRACT CONVEXITY
ALIMOHAMMADY , M. 1 ; SHAHMARI, A.2
1 Department of Mathematics, University of Mazandaran, Babolsar 47416 − 1468, Iran.
2 Islamic Azad University, Ayatollah Amoli branch, Amol, Iran
Journal of nonlinear sciences and its applications, Tome 2 (2009) no. 2, p. 113-125.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.002.02.06
Classification : 35P20, 35J70, 35BJ20
Keywords: Downward set, Subdifferential set, ordered Banach space, topical function, sub-topical function, separation theorem, abstract convex set.

ALIMOHAMMADY , M.  1 ; SHAHMARI, A. 2

1 Department of Mathematics, University of Mazandaran, Babolsar 47416 − 1468, Iran.
2 Islamic Azad University, Ayatollah Amoli branch, Amol, Iran 
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ALIMOHAMMADY , M. ; SHAHMARI, A. SEPARATION THEOREM WITH RESPECT TO SUB-TOPICAL FUNCTIONS AND ABSTRACT CONVEXITY. Journal of nonlinear sciences and its applications, Tome 2 (2009) no. 2, p. 113-125. doi : 10.22436/jnsa.002.02.06. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.002.02.06/

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