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Duality for Multitime Multiobjective Ratio Variational Problems on First Order Jet Bundle
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-26
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
We consider a new class of multitime multiobjective variational problems of minimizing a vector of quotients of functionals of curvilinear integral type.
Based on the efficiency conditions for multitime multiobjective ratio variational problems, we introduce a ratio dual of generalized Mond-Weir-Zalmai type, and under some assumptions of generalized convexity, duality theorems are stated.
We prove our weak duality theorem for efficient solutions, showing that the value of the objective function of the primal cannot exceed the value of the dual.
Direct and converse duality theorems are stated, underlying the connections between the values of the objective functions of the primal and dual programs.
As special cases, duality results of Mond-Weir-Zalmai type for a multitime multiobjective variational problem are obtained.
This work further develops our studies in (Pitea and Postolache (2011)).
American Psychological Association (APA)
Postolache, Mihai. 2012. Duality for Multitime Multiobjective Ratio Variational Problems on First Order Jet Bundle. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-483178
Modern Language Association (MLA)
Postolache, Mihai. Duality for Multitime Multiobjective Ratio Variational Problems on First Order Jet Bundle. Abstract and Applied Analysis No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-483178
American Medical Association (AMA)
Postolache, Mihai. Duality for Multitime Multiobjective Ratio Variational Problems on First Order Jet Bundle. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-483178
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483178