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Multiobjective Programming under Generalized Invexity: Optimality, Duality, Applications - Softcover
Synopsis
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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About the Author
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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Multiobjective Programming under Generalized Invexity
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ISBN 10: 3838373359
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 152 pp. Englisch. Seller Inventory # 9783838373355
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Multiobjective Programming under Generalized Invexity
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Slimani HachemHachem 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 fu. Seller Inventory # 5417639
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Multiobjective Programming under Generalized Invexity
Published by
LAP LAMBERT Academic Publishing Jun 2010, 2010
ISBN 10: 3838373359
ISBN 13: 9783838373355
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 152 pp. Englisch. Seller Inventory # 9783838373355
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Multiobjective Programming under Generalized Invexity : Optimality, Duality, Applications
Published by
LAP LAMBERT Academic Publishing, 2010
ISBN 10: 3838373359
ISBN 13: 9783838373355
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. Seller Inventory # 9783838373355
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Multiobjective Programming under Generalized Invexity | Optimality, Duality, Applications
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Taschenbuch. Condition: Neu. Multiobjective Programming under Generalized Invexity | Optimality, Duality, Applications | Hachem Slimani (u. a.) | Taschenbuch | 152 S. | Englisch | 2010 | LAP LAMBERT Academic Publishing | EAN 9783838373355 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. Seller Inventory # 107491829
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Multiobjective Programming under Generalized Invexity : Optimality, Duality, Applications
Published by
LAP LAMBERT Academic Publishing, 2010
ISBN 10: 3838373359
ISBN 13: 9783838373355
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Condition: Hervorragend. Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher | 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. Seller Inventory # 8298879/1
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