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Multiobjective Programming under Generalized Invexity: Optimality, Duality, Applications - Tapa blanda

Slimani, Hachem; Said Radjef, Mohammed

 
9783838373355: Multiobjective Programming under Generalized Invexity: Optimality, Duality, Applications
Tapa blanda
ISBN 10: 3838373359 ISBN 13: 9783838373355
Editorial: LAP LAMBERT Academic Publishing, 2010

Sinopsis

In the invex problems, it is required to consider a same function ? for the objective and constraint functions. Because of this restriction, various difficulties are encountered in applications related to optimality and duality properties. To improve this situation, in this work, the invexity with respect to different functions (?i) is proposed to study optimality conditions and duality for nonlinear and multiobjective programming problems with or without differentiability. Under this generalized invexity or its extensions assumptions, new Kuhn-Tucker (Fritz-John) type necessary and sufficient conditions and various duality results are obtained for (non)-differentiable nonlinear and multiobjective problems with inequality constraints. Furthermore, characterizations of solutions are established under suitable generalized invexity with respect to different (?i). Several examples are given to illustrate the obtained optimality results which generalize and extend previously known results in this area. The contents of this study should be accessible, usable and useful to students, researchers and practitioners in the areas of OR, optimization, applied mathematics, engineering, etc.

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Reseña del editor

In the invex problems, it is required to consider a same function η for the objective and constraint functions. Because of this restriction, various difficulties are encountered in applications related to optimality and duality properties. To improve this situation, in this work, the invexity with respect to different functions (ηi) is proposed to study optimality conditions and duality for nonlinear and multiobjective programming problems with or without differentiability. Under this generalized invexity or its extensions assumptions, new Kuhn-Tucker (Fritz-John) type necessary and sufficient conditions and various duality results are obtained for (non)-differentiable nonlinear and multiobjective problems with inequality constraints. Furthermore, characterizations of solutions are established under suitable generalized invexity with respect to different (ηi). Several examples are given to illustrate the obtained optimality results which generalize and extend previously known results in this area. The contents of this study should be accessible, usable and useful to students, researchers and practitioners in the areas of OR, optimization, applied mathematics, engineering, etc.

Biografía del autor

Hachem Slimani studied mathematics at Bejaia University, Algeria where he got his PhD and now teaches there. His main research areas are generalized convexity and multiobjective programming. Mohammed Said Radjef is a full professor in Operational Research. He gives courses on multicriteria programming and game theory, which are his main research areas.

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Editorial
LAP LAMBERT Academic Publishing
Año de publicación
2010
Idioma
Inglés
ISBN 10 
3838373359
ISBN 13 
9783838373355
Encuadernación
Tapa blanda
Número de páginas
152
Contacto del fabricante
no disponible
Persona responsable
Buchpark GmbH
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