Babcock University Research Portal

USING â„ - MULTIPLIER IN OPTIMIZATION

Authors: ADIO Adesina

Publication Type: Journal article

Journal:

ISSN Number:

Downloads

Views

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 Gâ†’ 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 ÎµM such that the continuous mapping, Ïƒ: Mâ†’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.

Access to Documents

External Link
Download
Digital Object Identifier

Keywords

ADIO,A. . (0000). USING â„ - MULTIPLIER IN OPTIMIZATION, 0 (), 0-0.

ADIO,A. . "USING â„ - MULTIPLIER IN OPTIMIZATION" 0, no (), (0000): 0-0.

ADIO,A. and . (0000). USING â„ - MULTIPLIER IN OPTIMIZATION, 0 (), pp0-0.

ADIOA, . USING â„ - MULTIPLIER IN OPTIMIZATION. 0000, 0 ():0-0.

ADIO,Adesina , . "USING â„ - MULTIPLIER IN OPTIMIZATION", 0 . (0000) : 0-0.

A.Adesina , "USING â„ - MULTIPLIER IN OPTIMIZATION" vol.0, no., pp. 0-0, 0000.

Access to Documents

Keywords

About Us

Admissions

Contact Us

Policies

ALUMNI

STUDENT POPULATION