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Title: Some Contributions to Optimality Criteria and Duality in Multiobjective Mathematical Programming
Researcher: Mattoo, Rumana Gulzar
Guide(s): Aquil Ahmed and Husain, I.
Keywords: Mathematical programming
Optimality, Duality, Mixed Duality
University: University of Kashmir
Completed Date: 2010
Abstract: This thesis entitled, SOME CONTRIBUTIONS TO OPTIMALITY CRITERIA AND DUALITY IN MULTIOBJECTIVE MATHEMATICAL PROGRAMMING , offers an extensive study on optimality, duality and mixed duality in a variety of multiobjective mathematical programming that includes nondifferentiable nonlinear programming, variational problems containing square roots of a certain quadratic forms and support functions which are prominent nondifferentiable convex functions. This thesis also deals with optimality, duality and mixed duality for differentiable and nondifferentiable variational problems involving higher order derivatives, and presents a close relationship between the results of continuous programming problems through the problems with natural boundary conditions between results of their counter parts in nonlinear programming. Finally it formulates a pair of mixed symmetric and self dual differentiable variational problems and gives the validation of various duality results under appropriate invexity and generalized invexity hypotheses. These results are further extended to a nondifferentiable case that involves support functions. newline
Appears in Departments:Department of Statistics

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02_certificate.pdf324.8 kBAdobe PDFView/Open
03_dedication.pdf250.38 kBAdobe PDFView/Open
04_abstract.pdf98.14 kBAdobe PDFView/Open
05_acknowledgement.pdf40.34 kBAdobe PDFView/Open
06_contents.pdf41.26 kBAdobe PDFView/Open
07_chapter 1.pdf1.23 MBAdobe PDFView/Open
08_chapter 2.pdf526.91 kBAdobe PDFView/Open
09_chapter 3.pdf469.87 kBAdobe PDFView/Open
10_chapter 4.pdf750.14 kBAdobe PDFView/Open
11_chapter 5.pdf658.88 kBAdobe PDFView/Open
12_chapter 6.pdf562.93 kBAdobe PDFView/Open
13_chapter 7.pdf934.37 kBAdobe PDFView/Open
14_bibliography.pdf208.8 kBAdobe PDFView/Open

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