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Using R- Multiplier in Optimization

Authors: BAMISILE Olabode

Publication Type: Journal article

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Abstract

â„-Multiplier as a Method of Optimization. The paper is part of the start of the investigation to use â„-Multiplier as an optimizing mapping. An â„-multiplier is a mapping, Ï: G X G â†’ â„ , where, in this case, G is a commutative topological group, such that Ï(xy,z)Ï(x,y) =Ï(x,yz)Ï(y,z) (1) Ï(x,e) =Ï(e,x ) = 1. (2) The motivation to embark on the study is due to the following theorem THEOREM 1. Find x Ïµ M such that the continuous mapping, Ïƒ: M â†’ â„ assumes a maximum or a minimum at some point of M, where M is a subgroup of a commutative topological group, G. This theorem is due to Kreyszig(1978) with some adaptations This paper proves, using a constructive method of proof, that an â„- multiplier is a continuous mapping; thus making an â„-multiplier a mapping which assumes a minimum or maximum at some point.

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BAMISILE,O. . (0000). Using R- Multiplier in Optimization, 0 (), 0-0.

BAMISILE,O. . "Using R- Multiplier in Optimization" 0, no (), (0000): 0-0.

BAMISILE,O. and . (0000). Using R- Multiplier in Optimization, 0 (), pp0-0.

BAMISILEO, . Using R- Multiplier in Optimization. 0000, 0 ():0-0.

BAMISILE,Olabode , . "Using R- Multiplier in Optimization", 0 . (0000) : 0-0.

B.Olabode , "Using R- Multiplier in Optimization" vol.0, no., pp. 0-0, 0000.

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