SEPARATION THEOREM WITH RESPECT TO SUB-TOPICAL FUNCTIONS AND ABSTRACT CONVEXITY


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


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